Completely 0-simple semigroups of quotients III

DOI10.1017/S030500410006775XzbMath0687.20056MaRDI QIDQ4205651

Mario Petrich, J. B. Fountain

Publication date: 1989

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

0-restricted congruencecompletely 0-simple semigroup of quotientsleft orders in Brandt semigroupsorders in rectangular groupsRees matrix semigroups over reversible cancellative semigroupsweakly 0-cancellative

Mathematics Subject Classification ID

General structure theory for semigroups (20M10)

Related Items (15)

Prime Ideals of Cancellative Semigroups ⋮ Normal bands of commutative cancellative semigroups revisited ⋮ Left orders in special completely 0-simple semigroups. ⋮ Left orders in completely \(0\)-simple semigroups ⋮ Orders in normal bands of groups ⋮ Quadratic algebras of skew type and the underlying monoids. ⋮ Strong bands of groups of left quotients ⋮ Left orders in regular \({\mathcal H}\)-semigroups. I ⋮ Structure of prime finitely presented monomial algebras. ⋮ On orders in normal cryptogroups. ⋮ Orders in completely regular semigroups ⋮ Unnamed Item ⋮ Completely 0‐simple semigroups of left quotients ⋮ Noetherian Semigroup Algebras and Beyond ⋮ Monoids and groups of I-type.

Cites Work

• Normal bands of commutative cancellative semigroups
• Completely 0-simple semigroups of quotients
• A representation of a semigroup by a semigroup of matrices over a group with zero
• One-to-one partial right translations of a right cancellative semigroup
• Abundant Semigroups
• An Embedding Theorem for Matrices of Commutative Cancellative Semigroups
• The free completely regular semigroup on a set

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