Generalized semigroup semirings which are zero-divisor-free or multiplicatively left-cancellative

DOI10.1016/0304-3975(92)90315-7zbMath0753.20020OpenAlexW1963931586MaRDI QIDQ1184997

Hanns Joachim Weinert, Udo Hebisch

Publication date: 28 June 1992

Published in: Theoretical Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-3975(92)90315-7

zbMATH Keywords

semiringfree partially commutative monoidmonoid algebraalgebra of seriesmultiplicatively left cancellativezero- divisor-free

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Near-rings (16Y30) Semigroup rings, multiplicative semigroups of rings (20M25)

Cites Work

• On 0-simple semirings, semigroup semirings, and two kinds of division semirings
• The inverse semigroup of a sum-ordered semiring
• A systolic array algorithm for the algebraic path problem (shortest paths; matrix inversion)
• Integrité des algèbres de séries formelles sur un alphabet partiellement commutatif
• Monoides et semi-anneaux complets. (Complete monoids and semirings)
• Théorèmes de transfert pour les polynômes partiellement commutatifs. (Transfer theorems for partially commutative polynomials)
• Combinatorial problems of commutation and rearrangements
• Über Halbringe und Halbkörper. I
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