Multiplicative Ideal Theory and Factorization Theory
Commutative and Non-commutative Perspectives
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Beschreibung
This book consists of both expository and research articles solicited from speakers at the conference entitled "Arithmetic and Ideal Theory of Rings and Semigroups," held September 22–26, 2014 at the University of Graz, Graz, Austria. It reflects recent trends in multiplicative ideal theory and factorization theory, and brings together for the first time in one volume both commutative and non-commutative perspectives on these areas, which have their roots in number theory, commutative algebra, and algebraic geometry. Topics discussed include topological aspects in ring theory, Prüfer domains of integer-valued polynomials and their monadic submonoids, and semigroup algebras. It will be of interest to practitioners of mathematics and computer science, and researchers in multiplicative ideal theory, factorization theory, number theory, and algebraic geometry.
This book consists of both expository and research articles solicited from speakers at the conference entitled "Arithmetic and Ideal Theory of Rings and Semigroups," held September 22–26, 2014 at the University of Graz, Graz, Austria. It reflects recent trends in multiplicative ideal theory and factorization theory, and brings together for the first time in one volume both commutative and non-commutative perspectives on these areas, which have their roots in number theory, commutative algebra, and algebraic geometry. Topics discussed include topological aspects in ring theory, Prüfer domains of integer-valued polynomials and their monadic submonoids, and semigroup algebras. It will be of interest to practitioners of mathematics and computer science, and researchers in multiplicative ideal theory, factorization theory, number theory, and algebraic geometry.
Brings together both commutative and non-commutative perspectives on multiplicative theory and factorization theory for the first time in one volume? Focuses on two significant strands of research in commutative algebra, which represent a long tradition in commutative ring theory Contains survey papers by leading experts in the field Includes supplementary material: sn.pub/extras
Autor*in
Scott Chapman
Themen in »Multiplicative Ideal Theory and Factorization Theory«
commutative ring theory factorization theory multiplicative ideal theory non-commutative algebra class semigroup quasi finite semigroup catenary degree tame degree local tameness weakly C-monoid coherent domain Krull domain atomic domain HFD pseudovaluation domain