Algebraic Structures

An operation (more precisely, a binary operation) on a set S is a function from S × S to S. Standard examples are addition, multiplication, and composition of functions. Elementary texts often emphasize the "closure" property of an operation (or, sometimes, of an algebraic structure): the...

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Bibliographische Detailangaben
Veröffentlicht in:	A Guide to Groups, Rings, and Fields S. 17 - 28
1. Verfasser:	Fernando Q. Gouvêa
Format:	Buchkapitel
Sprache:	Englisch
Veröffentlicht:	Washington The Mathematical Association of America 2012 Mathematical Association of America American Mathematical Society
Ausgabe:	1
Schlagworte:	Abstract algebra Abstract spaces Algebra Algebraic structure Applied mathematics Applied statistics Category theory Dimensional analysis Dimensionality Formal logic Homomorphisms Logic Logical topics Mathematical logic Mathematical objects Mathematical rings Mathematical set theory Mathematical sets Mathematics Monoids Morphisms Partially ordered sets Philosophy Pure mathematics Semigroups Statistical physics Statistics Vector spaces oid-construction ring abelian group magma idempotent rig associative algebra partially ordered set algebraic structure dioid limit action associative join closure universal algebra group equivariant module algebraic structure finite rng tropical semiring unit field linear transformation totally ordered set homomorphism skew field vector space bad habits groupoid algebra representation ordered set identity element supremum octonions poset Jacobi identity monoidoid nonassociative "ring" inverse hypercomplex numbers semiring division ring nonassociative operations action via monoid ring homomorphism infimum meet preordered set zero ring associative ring lattice semigroup Lie algebra operation commutative
ISBN:	9780883853559, 0883853558
Online-Zugang:	Volltext
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