國立虎尾科技大學 |

Recent progress in ring and factorization theory = Graz, Austria, July 10-14, 2023 /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Recent progress in ring and factorization theory/ edited 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

Recent progress in ring and factorization theory = Graz, 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.24..

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

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

786669
Rings (Algebra)

LC Class. No.: QA247

Dewey Class. No.: 512.4

Recent progress in ring and factorization theory = Graz, Austria, July 10-14, 2023 /
LDR:03329nam a2200337 a 4500 001 1162518
003 DE-He213
005 20250511130332.0
006 m d
007 cr nn 008maaau
008 251029s2025 sz s 0 eng d
020 $a 9783031753268 $q (electronic bk.)
020 $a 9783031753251 $q (paper)
024 7 $a 10.1007/978-3-031-75326-8 $2 doi
035 $a 978-3-031-75326-8
040 $a GP $c GP
041 0 $a eng
050 4 $a QA247
072 7 $a PBF $2 bicssc
072 7 $a MAT002010 $2 bisacsh
072 7 $a PBF $2 thema
082 0 4 $a 512.4 $2 23
090 $a QA247 $b .R295 2025
245 0 0 $a Recent progress in ring and factorization theory $h [electronic resource] : $b Graz, Austria, July 10-14, 2023 / $c edited by Matej Brešar ... [et al.].
260 $a Cham : $c 2025. $b Springer Nature Switzerland : $b Imprint: Springer,
300 $a viii, 450 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Springer proceedings in mathematics & statistics, $x 2194-1017 ; $v v. 477
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.
650 0 $a Rings (Algebra) $3 786669
650 0 $a Factorization (Mathematics) $3 593082
650 1 4 $a Commutative Rings and Algebras. $3 672054
650 2 4 $a Associative Rings and Algebras. $3 672306
650 2 4 $a Non-associative Rings and Algebras. $3 672285
700 1 $a Brešar, Matej. $3 1489318
710 2 $a SpringerLink (Online service) $3 593884
711 2 $a Workshop on the Preservation of Stability under Discretization $d (2001 : $c Fort Collins, Colo.) $3 527686
773 0 $t Springer Nature eBook
830 0 $a Springer proceedings in mathematics & statistics ; $v v.24. $3 883338
856 4 0 $u https://doi.org/10.1007/978-3-031-75326-8
950 $a Mathematics and Statistics (SpringerNature-11649)