Goldie's theorem for semigroups

DOI10.1007/BF02573755zbMath0791.20082MaRDI QIDQ687637

Guangtian Song

Publication date: 6 January 1994

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/135268

zbMATH Keywords

congruencesGoldie dimensionendomorphism monoidleft order\(S\)-systemmatrix monoids\(G^ 0\)-actsArtin-Wedderburn-Theoremcancellable elementclassical left quotient semigroupfree \(G^ 0\) systems

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Connections of semigroups with homological algebra and category theory (20M50)

Cites Work

• Completely 0-simple semigroups of quotients
• An Embedding Theorem for Matrices of Commutative Cancellative Semigroups
• Sums of Distinct Divisors and Sums of Distinct Units
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