Purity in the category of M-sets

DOI10.1007/BF02572678zbMath0521.20050MaRDI QIDQ1055568

Peeter Normak

Publication date: 1980

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

Full work available at URL: https://eudml.org/doc/134412

zbMATH Keywords

left idealsinjective envelopesemiautomatasemilattice of groupsabsolutely pureleft M-setspure extensionsright M-sets

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Ideal theory for semigroups (20M12) Semigroups in automata theory, linguistics, etc. (20M35) Connections of semigroups with homological algebra and category theory (20M50)

Related Items (14)

Equational Compactness ofG-sheaves ⋮ A NEW CHARACTERIZATION OF ABSOLUTELY PO-PURE AND ABSOLUTELY PURE S-POSETS ⋮ Divisible S-systems and R-modules ⋮ Preenveloping classes of acts ⋮ Completely right pure monoids: the general case ⋮ Completely right pure monoids on which ℋ is a right congruence ⋮ Coperfect monoids ⋮ Classification of monoids by injectivities. II: CC-injectivity. ⋮ Unnamed Item ⋮ Essential pure monomorphisms of sheaves of group actions. ⋮ On the Baer Criterion for Acts Over Semigroups ⋮ Monoids characterized by their quasi-injective S-systems ⋮ Model companions of quasivarieties of polygons ⋮ The characterisation of monoids by properties of their S-systems

Cites Work

• On the free product of associative rings
• On pure subgroups of abelian groups
• Equational compactness in equational classes of algebras
• Hereditary and semi-hereditary monoids
• Abelian groups that are direct summands of every abelian group which contains them as pure subgroups
• Equational Compactness of G-Sets
• Absolutely Pure Modules
• The Injective Envelope of S-Sets
• Completely injective semigroups with central idempotents
• Indecomposable and Injective S‐systems with Zero
• Flatness and localization over monoids
• Absolutely Pure Modules
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