Search Results - Algebraic properties of function spaces in general topology

ALGEBRAIC PROPERTIES OF SOME COMPACT SPACES

Authors: Azarpanah, F.

Source: Real Analysis Exchange, 1999 Jan 01. 25(1), 317-327.

Access URL: https://www.jstor.org/stable/44153077

Direct decompositions of lattices, rings, and semigroups of continuous functions

Authors: Blair, R. L.

Source: Publicationes Mathematicae Debrecen. 23:207-213

Subject Terms: Function spaces in general topology, Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces, Algebraic properties of function spaces in general topology, 0101 mathematics, 01 natural sciences

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Access URL: https://zbmath.org/3562076

Spaces on Which Every Pointwise Convergent Series of Continuous Functions Converges Pseudo-Normally

Authors: Bukovský, Lev Ciesielski, Krzysztof

Source: Proceedings of the American Mathematical Society, 2005 Feb 01. 133(2), 605-611.

Access URL: https://www.jstor.org/stable/4097967

Countably tight, zero-dimensional and totally disconnected dense subspaces of C(X): Countably tight, zero-dimensional and totally disconnected dense subspaces of \(C_p(X)\)

Authors: Joel Aguilar-Velázquez Reynaldo Rojas-Hernández

Source: Topology and its Applications. 362:109220

Subject Terms: Sokolov compact space, Function spaces in general topology, function space, zero-dimensional space, Compactness, totally disconnected space, Algebraic properties of function spaces in general topology, Cardinality properties (cardinal functions and inequalities, discrete subsets), Separability of topological spaces, tightness, \(C_p\)-theory

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Access URL: https://zbmath.org/7978952
https://doi.org/10.1016/j.topol.2025.109220

When is C(X) a p.p. local, a p.f. local or an r-local ring?: When is \(C(X)\) a p.p. local, a p.f. local or an \(r\)-local ring?

Authors: F. Azarpanah R. Mohamadian A. Saeidi

Source: Journal of Algebra and Its Applications. 24

Subject Terms: Structure, classification theorems for modules and ideals in commutative rings, essential almost \(P\)-space, Arithmetic rings and other special commutative rings, essential \(F\)-space, Algebraic properties of function spaces in general topology, Ideals and multiplicative ideal theory in commutative rings, p.p. local ring, 0102 computer and information sciences, 0101 mathematics, p.f. local ring, 01 natural sciences, essential basically disconnected space, \(r\)-local ring

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Access URL: https://zbmath.org/8035294
https://doi.org/10.1142/s021949882550210x

A look at FPF rings

Authors: E. Ghashghaei M. Tamer Koşan T. Cong Quynh et al.

Source: Journal of Algebra and Its Applications. 24

Subject Terms: \(\Pi\)-coherent ring, Units, groups of units (associative rings and algebras), ring of continuous functions, \(\Pi\)-semihereditary ring, Semihereditary and hereditary rings, free ideal rings, Sylvester rings, etc, Free, projective, and flat modules and ideals in associative algebras, Algebraic properties of function spaces in general topology, 0102 computer and information sciences, 01 natural sciences, Associative rings of functions, subdirect products, sheaves of rings, von Neumann regular rings and generalizations (associative algebraic aspects), Baer ring, 0101 mathematics, FPF ring

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Access URL: https://zbmath.org/8011294
https://doi.org/10.1142/s0219498825501609
https://avesis.gazi.edu.tr/publication/details/143ada9e-9499-4c7f-b19c-ee250f0716d2/oai

p-Fréchet-Urysohn property of function spaces: \(p\)-Fréchet-Urysohn property of function spaces

Authors: Salvador Garcia-Ferreira Angel Tamariz-Mascarúa

Source: Topology and its Applications. 58:157-172

Subject Terms: P-point, Algebraic properties of function spaces in general topology, Function space, FU(p)-space, Rudin-Keisler order, Selective, 01 natural sciences, \(Q\)-point, selective, \(\text{FU} (p)\)-space, 0101 mathematics, \(P\)-point, Semiselective, strong measure zero, Rapid, \(\gamma_ p\)-property, Other combinatorial set theory, Rudin- Keisler order, semiselective, rapid, γp-property, ω-cover, Sequential spaces, \(\omega\)-cover, Q-point, Geometry and Topology

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Access URL: https://zbmath.org/612396
https://doi.org/10.1016/0166-8641(94)90129-5
https://www.sciencedirect.com/science/article/abs/pii/0166864194901295
https://core.ac.uk/display/82627309

Algebraic properties of rings of continuous functions

Authors: Mulero, M. A.

Source: Fundamenta Mathematicae. 149:55-66

Subject Terms: flat module, Injective and flat modules and ideals in commutative rings, Algebraic properties of function spaces in general topology, primary ideal, Going up, going down, going between, 0101 mathematics, 01 natural sciences

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Access URL: https://zbmath.org/852886

Specification of topological spaces by algebraic systems of continuous functions

Authors: E. M. Vechtomov

Source: Journal of Soviet Mathematics. 53:123-147

Subject Terms: Topological representations of algebraic systems, stone spaces, Lattices of continuous, differentiable or analytic functions, E-compact spaces, Topological properties of groups of homeomorphisms or diffeomorphisms, Algebraic properties of function spaces in general topology, Rings and algebras of continuous, differentiable or analytic functions, semigroups of functions

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Access URL: https://link.springer.com/article/10.1007/BF01098255

Pontryagin Duality for Spaces of Continuous Functions: Pontryagin duality for spaces of continuous functions

Authors: Vladimir Uspenskij Salvador Hernández

Source: Journal of Mathematical Analysis and Applications. 242:135-144

Subject Terms: \(P\)-space, \(P\)-reflexive, Applied Mathematics, Algebraic properties of function spaces in general topology, spaces of continuous functions, 01 natural sciences, caliber, Function spaces in general topology, Pontryagin–van Kampen duality, Real-valued functions in general topology, P-space, Topological linear spaces of continuous, differentiable or analytic functions, 0101 mathematics, Analysis, Topological groups (topological aspects)

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Access URL: https://core.ac.uk/display/82389433
https://www.sciencedirect.com/science/article/pii/S0022247X99966271

Some properties of the ideal of continuous functions with pseudocompact support

Authors: Hassan Al-Ezeh E. A. Abu Osba

Source: International Journal of Mathematics and Mathematical Sciences, Vol 27, Iss 3, Pp 169-176 (2001)

Subject Terms: Algebra and Number Theory, Study of properties and structures of commutative rings, Deformations and Structures of Hom-Lie Algebras, Injective and flat modules and ideals in commutative rings, Cluster Algebras and Triangulated Categories, Algebraic properties of function spaces in general topology, Computer science, 01 natural sciences, Algorithm, Real-valued functions in general topology, Physical Sciences, QA1-939, FOS: Mathematics, Idealization, Geometry and Topology, 0101 mathematics, Mathematics

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Access URL: http://downloads.hindawi.com/journals/ijmms/2001/304840.pdf
https://zbmath.org/1751237
https://doi.org/10.1155/s0161171201010389
https://doaj.org/article/8793ee2d36874ba88364bc93ec30e758
https://www.hindawi.com/journals/ijmms/2001/304840/
https://www.maths.tcd.ie/EMIS/journals/HOA/IJMMS/27/3169.pdf
https://downloads.hindawi.com/journals/ijmms/2001/304840.pdf
https://www.emis.de/journals/HOA/IJMMS/Volume27_3/304840.pdf
http://emis.maths.adelaide.edu.au/journals/HOA/IJMMS/Volume27_3/176.pdf
http://emis.library.cornell.edu/journals/HOA/IJMMS/27/3169.pdf

Realcompactness and spaces of vector-valued functions

Authors: Jesús Araujo

Source: Fundamenta Mathematicae. 172:27-40

Subject Terms: biseparating map, spaces of vector-valued functions, General Topology (math.GN), Algebraic properties of function spaces in general topology, 01 natural sciences, homeomorphic compactifications, Functional Analysis (math.FA), Mathematics - Functional Analysis, Function spaces in general topology, Spaces of vector- and operator-valued functions, Realcompactness and realcompactification, FOS: Mathematics, 54C35 (Primary) 54C40, 54D60, 46E40 (Secondary), 0101 mathematics, realcompactness, Mathematics - General Topology

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Access URL: https://www.impan.pl/shop/publication/transaction/download/product/88993?download.pdf
http://arxiv.org/abs/math/0010261
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.bwnjournal-article-doi-10_4064-fm172-1-3
http://ui.adsabs.harvard.edu/abs/2000math.....10261A/abstract
https://www.impan.pl/pl/wydawnictwa/czasopisma-i-serie-wydawnicze/fundamenta-mathematicae/all/172/1/88993/realcompactness-and-spaces-of-vector-valued-functions

purely ring characteristic of rings of continuous functions on compact topological spaces: Purely ring characteristic of rings of continuous functions on compact topological spaces

Authors: V. K. Zakharov A. A. Seredinskii A. V. Mikhalev

Source: Journal of Mathematical Sciences. 112(6):4583-4597

Subject Terms: Banach algebras of continuous functions, function algebras, Algebraic properties of function spaces in general topology, rings of continuous functions, Associative rings of functions, subdirect products, sheaves of rings

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Access URL: https://zbmath.org/1982013
https://doi.org/10.1023/a:1020530523538
https://link.springer.com/article/10.1023/A%3A1020530523538

Zerofree extension of continuous functions on a compact Hausdorff space: Zerofree extension of continuous functions on compact Hausdorff space

Authors: Rudolf Rupp

Source: Topology and its Applications. 93:65-71

Subject Terms: Banach algebras of continuous functions, function algebras, Homotopy class, Algebraic properties of function spaces in general topology, Zerofree continuous extension, Geometry and Topology, 0101 mathematics, 01 natural sciences, Extension of maps

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Access URL: https://zbmath.org/1307863
https://doi.org/10.1016/s0166-8641(97)00254-x
https://www.sciencedirect.com/science/article/pii/S016686419700254X

The power substitution for rings of complex and real functions on compact metric spaces

Authors: A. N. Dranishnikov

Source: Proceedings of the American Mathematical Society. 123:2887-2893

Subject Terms: power substitution property, Dimension theory in algebraic topology, cohomological dimension, 4. Education, Algebraic properties of function spaces in general topology, rings of continuous functions, compact metric space, 0101 mathematics, 16. Peace & justice, 01 natural sciences, ring

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Access URL: https://www.ams.org/proc/1995-123-09/S0002-9939-1995-1307512-5/S0002-9939-1995-1307512-5.pdf
https://zbmath.org/868234
https://doi.org/10.2307/2160592
https://www.ams.org/proc/1995-123-09/S0002-9939-1995-1307512-5/S0002-9939-1995-1307512-5.pdf
https://www.jstor.org/stable/2160592
https://www.ams.org/journals/proc/1995-123-09/S0002-9939-1995-1307512-5/home.html

On lattices of continuous functions on a Stonian space

Authors: D. A. Edwards

Source: Mathematical Proceedings of the Cambridge Philosophical Society. 132:169-180

Subject Terms: preorder, uniform approximation, Lattices of continuous, differentiable or analytic functions, Algebraic properties of function spaces in general topology, compact space, 0101 mathematics, 01 natural sciences, Extension of maps, lattice, continuous functions

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Access URL: https://zbmath.org/1719249
https://doi.org/10.1017/s0305004101005540
https://dialnet.unirioja.es/servlet/articulo?codigo=2805835
https://ui.adsabs.harvard.edu/abs/2002MPCPS.132..169E/abstract
http://www.journals.cambridge.org/abstract_S0305004101005540
https://www.cambridge.org/core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society/article/on-lattices-of-continuous-functions-on-a-stonian-space/FD7F354BCE4251B9F030AE94F2090420

Lattice of subalgebras of the ring of continuous functions and Hewitt spaces

Authors: E. M. Vechtomov

Source: Mathematical Notes. 62:575-580

Subject Terms: Ideals and subalgebras, Real-valued functions in general topology, Realcompactness and realcompactification, Algebraic properties of function spaces in general topology, \(R\)-separated space, 0101 mathematics, Rings and algebras of continuous, differentiable or analytic functions, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/1257157
https://doi.org/10.1007/bf02361295
https://link.springer.com/article/10.1007/BF02361295
https://link.springer.com/content/pdf/10.1007/BF02361295.pdf

$\mathbb N$-compactness and automatic continuity in ultrametric spaces of bounded continuous functions: \(\mathbb{N}\)-compactness and automatic continuity in ultrametric spaces of bounded continuous functions

Authors: Jesús Araujo

Source: Proceedings of the American Mathematical Society. 127:2489-2496

Subject Terms: \(\mathbb{N}\)-compact spaces, Functional analysis over fields other than \(\mathbb{R}\) or \(\mathbb{C}\) or the quaternions, non-Archimedean functional analysis, field-valued map, Algebraic properties of function spaces in general topology, 0101 mathematics, 01 natural sciences, nonarchimedean field

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Access URL: https://www.ams.org/proc/1999-127-08/S0002-9939-99-04781-4/S0002-9939-99-04781-4.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=477376
https://www.ams.org/proc/1999-127-08/S0002-9939-99-04781-4/S0002-9939-99-04781-4.pdf
https://www.ams.org/journals/proc/1999-127-08/S0002-9939-99-04781-4/home.html
https://documat.unirioja.es/servlet/articulo?codigo=477376

Homomorphisms of nearrings of continuous functions from topological spaces into the asymmetric nearring

Authors: Jr. K. D. Magill

Source: Topology and its Applications. 95:257-272

Subject Terms: nearrings of continuous functions, Algebraic properties of function spaces in general topology, Homomorphisms, homomorphisms, 01 natural sciences, Nearrings of continuous functions, Near-rings, 16Y30, Topological fields, rings, etc. (topological aspects), 54H13, topological nearrings, Topological nearrings, Realcompactness and realcompactification, Geometry and Topology, 0101 mathematics

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Access URL: https://zbmath.org/1340420
https://doi.org/10.1016/s0166-8641(98)00011-x
https://www.sciencedirect.com/science/article/abs/pii/S016686419800011X

Two ultrafilter properties for vector lattices of real-valued functions

Authors: Adamski, Wolfgang

Source: Publicationes Mathematicae Debrecen. 45:255-267

Subject Terms: Lattices of continuous, differentiable or analytic functions, Algebraic properties of function spaces in general topology, countable intersection property, 0101 mathematics, Rings and algebras of continuous, differentiable or analytic functions, 01 natural sciences, ultrafilter, Topological lattices, etc. (topological aspects), relations between \(E\)- compactness and \({\mathcal H} (E)\)-completeness, measure-theoretic characterizations of realcompactness and compactness of a Tikhonov space

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Access URL: https://zbmath.org/746111