NOETHERIAN UNIQUE FACTORIZATION SEMIGROUP ALGEBRAS

DOI10.1081/AGB-100107954zbMath1004.16026OpenAlexW2018688081MaRDI QIDQ2777962

Qiang Wang, Eric Jespers

Publication date: 6 February 2003

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/agb-100107954

zbMATH Keywords

polycyclic-by-finite groupsprime idealssemigroup algebrasright Noetherian ringsunique factorization ringsunique factorization monoids

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Generalizations of solvable and nilpotent groups (20F19) Semigroup rings, multiplicative semigroups of rings (20M25) Divisibility, noncommutative UFDs (16U30) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (6)

Sets of lengths in maximal orders in central simple algebras. ⋮ Factorization theory: from commutative to noncommutative settings. ⋮ Multiplicative Ideal Theory in Noncommutative Rings ⋮ Noetherian Semigroup Algebras and Beyond ⋮ Factorizations of Elements in Noncommutative Rings: A Survey ⋮ Height-one prime ideals in semigroup algebras satisfying a polynomial identity

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