T-block monoids and their arithmetical applications to certain integral domains
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Publication:4288212
DOI10.1080/00927879408824924zbMath0809.13013OpenAlexW2109066601MaRDI QIDQ4288212
Publication date: 20 March 1995
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927879408824924
Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Semigroup rings, multiplicative semigroups of rings (20M25) Picard groups (14C22) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)
Related Items (7)
Chains of factorizations and sets of lengths ⋮ Elasticity of factorizations in atomic monoids and integral domains ⋮ Unnamed Item ⋮ Length-factoriality in commutative monoids and integral domains ⋮ On lengths of non-unique factorizations and systems of linear diophantine inequalities ⋮ Unnamed Item ⋮ Arithmetical theory of monoid homomorphisms
Cites Work
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- Factorization problems in semigroups
- Factorization in integral domains
- Arithmetical semigroups defined by congruences
- On non-unique factorizations into irreducible elements
- On primary factorizations
- On the number and ideal theory of one-dimensional noetherian integral domains.
- Finiteness theorems for factorizations
- Realization theorems for semigroups with divisor theory
- Cohen-Kaplansky domains: Integral domains with a finite number of irreducible elements
- On the lengths of factorizations of elements in an algebraic number ring
- On the arithmetic of certain not integrally closed noetheian integral domains
- Quantitative aspects of non-unique factorization: A general theory with applications to algebraic function fields.
- Atomic domains in which almost all atoms are prime
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