Výsledky vyhledávání - "Polynomial Module"

Rank one polynomial modules over the quantum group of type A 1 Autor Xia, Limeng, Feng, Ge, Hu, Naihong

“…In this article, we classify all rank one polynomial modules over the quantum groups and for generic q. We also provide the equivalent conditions for the…”
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Polynomial extensions of Krull modules Autor Akalan, E., Marubayashi, H.

“…Let M be a torsion-free module over an integral domain D with quotient field K. In this paper, we show that M is a Krull module over D in the sense of…”
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On Unique Factorization Modules: A Submodule Approach Autor Sri Wahyuni, Hidetoshi Marubayashi, Iwan Ernanto, I Putu Yudi Prabhadika

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Attached prime ideals over skew Ore polynomials Autor Higuera, Sebastián, Reyes, Armando

“…In this paper, we investigate the attached prime ideals of inverse polynomial modules over skew Ore polynomials…”
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ON NIL-SYMMETRIC RINGS AND MODULES SKEWED BY RING ENDOMORPHISM Autor Mustafa, Ibrahim, Ahmed, Chnar Abdulkareem

“…The symmetric property plays an important role in non-commutative ring theory and module theory.  In this paper, we study the symmetric property with one…”
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Free Modules over the Lie Algebras of Differential Operators Autor Munayim Dilxat, Shoulan Gao, Dong Liu, Limeng Xia

“…This paper mainly considers a class of non-weight modules over the Lie algebra of the Weyl type. First, we construct the U( h ) -free modules of rank one over…”
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On Unique Factorization Modules: A Submodule Approach Autor Wahyuni, Sri, Marubayashi, Hidetoshi, Ernanto, Iwan, Prabhadika, I Putu Yudi

“…Let M be a torsion-free module over an integral domain D. We define a concept of a unique factorization module in terms of v-submodules of M. If M is a unique…”
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Uniform and couniform dimensions of inverse polynomial modules over skew Ore polynomials Autor Higuera, Sebastian, Reyes, Armando

“…In this paper, we study the uniform and couniform dimensions of inverse polynomial modules over skew Ore polynomials…”
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U(h)-Free Modules over the Lie Algebras of Differential Operators Autor Dilxat, Munayim, Gao, Shoulan, Liu, Dong, Xia, Limeng

“…This paper mainly considers a class of non-weight modules over the Lie algebra of the Weyl type. First, we construct the U(h)-free modules of rank one over the…”
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Highest-weight theory for truncated current Lie algebras Autor Wilson, Benjamin J.

“…In this paper a highest-weight theory for the truncated current Lie algebra g ˆ g ˆ = g ⊗ k k [ t ] / t N + 1 k [ t ] is developed when the underlying Lie…”
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The PBH test for multidimensional LTID systems Autor Lomadze, Vakhtang

“…In this article, the classical Popov–Belevitch–Hautus controllability test is generalized to higher dimensions…”
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Generalized polynomial Bezoutian with respect to a Jacobson chain basis over an arbitrary field Autor Wu, Huazhang

“…We introduce a so-called generalized polynomial Bezoutian with respect to a Jacobson chain basis over an arbitrary field. Some characterization of this kind of…”
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Injective and Projective Properties of R[x]-Modules Autor Park, Sangwon, Cho, Eunha

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COUNIFORM DIMENSION OVER SKEW POLYNOMIAL RINGS Autor Annin, Scott

“…In this paper, we study the behavior of the couniform (or dual Goldie) dimension of a module under various polynomial extensions. For a ring automorphism σ ∈ …”
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Canonical State Representations and Hilbert Functions of Multidimensional Systems Autor Oberst, Ulrich

“…A basic and substantial theorem of one-dimensional systems theory, due to R. Kalman, says that an arbitrary input/output behavior with proper transfer matrix…”
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LEFT GLOBAL DIMENSIONS AND INVERSE POLYNOMIAL MODULES Autor Park, Sangwon

“…We prove the fact l. gl. dimR[x] = (l. gl. dimR)+1, where l.gl.dim means the left global dimension by using inverse polynomial modules and injective…”
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Layer-Projective Lattices. II Autor Antonov, V. A., Nazyrova, Yu. A.

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Resolving Decompositions for Polynomial Modules Autor Albert, Mario, Seiler, Werner M.

“…We introduce the novel concept of a resolving decomposition of a polynomial module as a combinatorial structure that allows for the effective construction of…”
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An iterative algorithm for parametrization of shortest length linear shift registers over finite chain rings Autor Kuijper, M., Pinto, R.

“…The construction of shortest feedback shift registers for a finite sequence S 1 , … , S N is considered over finite chain rings, such as Z p r . A novel…”
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Polynomially and infinitesimally injective modules Autor Donkin, Stephen, Geranios, Haralampos

“…The injective polynomial modules for a general linear group G of degree n are labelled by the partitions with at most n parts. Working over an algebraically…”
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