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Recent progress in ring and factorization theoryGraz, Austria, July 10-14, 2023 /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Recent progress in ring and factorization theoryedited by Matej Brešar ... [et al.].
其他題名:	Graz, Austria, July 10-14, 2023 /
其他作者:	Brešar, Matej.
出版者:	Cham :Springer Nature Switzerland :2025.
面頁冊數:	viii, 450 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Rings (Algebra)
電子資源:	https://doi.org/10.1007/978-3-031-75326-8
ISBN:	9783031753268$q(electronic bk.)

Recent progress in ring and factorization theoryGraz, Austria, July 10-14, 2023 /
Recent progress in ring and factorization theoryGraz, Austria, July 10-14, 2023 /[electronic resource] :edited by Matej Brešar ... [et al.]. - Cham :Springer Nature Switzerland :2025. - viii, 450 p. :ill. (some col.), digital ;24 cm. - Springer proceedings in mathematics & statistics,v. 4772194-1017 ;. - Springer proceedings in mathematics & statistics ;v.19..

The directed Cayley diameter and the Davenport constant -- Heaps and trusses -- Prüfer v-multiplication domains, a survey -- Some applications of a new approach to factorization -- Atomicity in integral domains -- Norms, normsets, and factorization -- On the Ratliff-Rush closure of an ideal of a one-dimensional ring -- Graded identities of infinite-dimensional Lie algebras -- On a class of quotients of Rees algebras: a survey -- P-adic approximation of algebraic integers and residue class rings of integer-valued polynomials -- On matrix superalgebras with pseudoautomorphism -- Krull Rings, Semistar Operations, and Bases of Regularity -- Descriptions of radicals in polynomial ring extensions -- Boolean inverse semigroups and their type monoids -- Generalized derivations characterized by their action on Jordan products -- Open problems on relations of numerical semigroups -- Irreducible integer-valued polynomials with prescribed minimal power that factors non-uniquely -- The role of divisors in non-commutative ideal theory -- Essential-like properties for integer-valued polynomial rings: a survey with a note on valuation domains -- On the isomorphism problem for power semigroups -- Dimension-free matricial Nullstellensätze for noncommutative polynomials.

This proceedings volume gathers a selection of cutting-edge research in both commutative and non-commutative ring theory and factorization theory. The papers were presented at the Conference on Rings and Factorization held at the University of Graz, Austria, July 10-14, 2023. The volume covers a wide range of topics including multiplicative ideal theory, Dedekind, Prüfer, Krull, and Mori rings, non-commutative rings and algebras, rings of integer-valued polynomials, topological aspects in ring theory, factorization theory in rings and semigroups, and direct-sum decomposition of modules. The conference also featured two special sessions dedicated to Matej Brešar and Sophie Frisch on the occasion of their 60th birthdays. This volume is aimed at graduate students and researchers in these areas as well as related fields and provides new insights into both classical and contemporary research in ring and factorization theory.

ISBN: 9783031753268$q(electronic bk.)

Standard No.: 10.1007/978-3-031-75326-8doiSubjects--Topical Terms:

190979
Rings (Algebra)

LC Class. No.: QA247

Dewey Class. No.: 512.4

Recent progress in ring and factorization theoryGraz, Austria, July 10-14, 2023 /
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505 0 $a The directed Cayley diameter and the Davenport constant -- Heaps and trusses -- Prüfer v-multiplication domains, a survey -- Some applications of a new approach to factorization -- Atomicity in integral domains -- Norms, normsets, and factorization -- On the Ratliff-Rush closure of an ideal of a one-dimensional ring -- Graded identities of infinite-dimensional Lie algebras -- On a class of quotients of Rees algebras: a survey -- P-adic approximation of algebraic integers and residue class rings of integer-valued polynomials -- On matrix superalgebras with pseudoautomorphism -- Krull Rings, Semistar Operations, and Bases of Regularity -- Descriptions of radicals in polynomial ring extensions -- Boolean inverse semigroups and their type monoids -- Generalized derivations characterized by their action on Jordan products -- Open problems on relations of numerical semigroups -- Irreducible integer-valued polynomials with prescribed minimal power that factors non-uniquely -- The role of divisors in non-commutative ideal theory -- Essential-like properties for integer-valued polynomial rings: a survey with a note on valuation domains -- On the isomorphism problem for power semigroups -- Dimension-free matricial Nullstellensätze for noncommutative polynomials.
520 $a This proceedings volume gathers a selection of cutting-edge research in both commutative and non-commutative ring theory and factorization theory. The papers were presented at the Conference on Rings and Factorization held at the University of Graz, Austria, July 10-14, 2023. The volume covers a wide range of topics including multiplicative ideal theory, Dedekind, Prüfer, Krull, and Mori rings, non-commutative rings and algebras, rings of integer-valued polynomials, topological aspects in ring theory, factorization theory in rings and semigroups, and direct-sum decomposition of modules. The conference also featured two special sessions dedicated to Matej Brešar and Sophie Frisch on the occasion of their 60th birthdays. This volume is aimed at graduate students and researchers in these areas as well as related fields and provides new insights into both classical and contemporary research in ring and factorization theory.
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