Injectives in varieties of completely regular semigroups

DOI10.1016/0022-4049(89)90044-3zbMath0674.20036OpenAlexW2006468402MaRDI QIDQ1121389

P. G. Trotter

Publication date: 1989

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(89)90044-3

zbMATH Keywords

maximal subgroupsretractionvariety of groupsvariety of completely regular semigroupsband varietiesinjectives\({\mathcal V}\)-injective grouporthodox normal band of groupsstrong semilatticesvariety of completely simple semigroups

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Varieties and pseudovarieties of semigroups (20M07) Connections of semigroups with homological algebra and category theory (20M50) Injectives, projectives (08B30)

Cites Work

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• The least inverse and orthodox congruences on a completely regular semigroup
• Injectives in varieties of completely simple semigroups
• Injectives in varieties of groups
• Injectivity in varieties of groups
• Varieties of orthodox bands of groups
• Injectives in certain classes of semigroups
• Injectives in equational classes of idempotent semigroups
• Completions, translational hulls and ideal extensions of inverse semigroups

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