Recent Progress in Ring and Factorization Theory

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.

• Erscheinungsdatum: 10.05.2025
• Autor/Autorin: Matej Bresar
• Reihe: Springer Nature Proceedings excluding Computer Science
• Format: E-Book
• Dateiformat: PDF
• Kopierschutz: Wasserzeichen
• Dateigröße: 5.5 MB
• Verlag: SPRINGER
• Sprache: Englisch
• Umfang: 450 Seiten
• ISBN: 9783031753268
• Lieferung: Sofort per Download
• Hinweis: Sofort per Download lieferbar. Kein physischer Versand.
• Kompatibilität: Lesbar auf Geräten und Apps mit PDF-Unterstützung.