Schreier split epimorphisms between monoids | Zendy

Dominique Bourn | Zendy; Nelson Martins-Ferreira | Zendy; Andrea Montoli | Zendy; Manuela Sobral | Zendy

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Schreier split epimorphisms between monoids

Author(s) -

Dominique Bourn,

Nelson Martins-Ferreira,

Andrea Montoli,

Manuela Sobral

Publication year - 2014

Publication title -

semigroup forum

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.52

H-Index - 38

eISSN - 1432-2137

pISSN - 0037-1912

DOI - 10.1007/s00233-014-9571-6

Subject(s) - mathematics , monoid , lemma (botany) , transitive relation , pure mathematics , relation (database) , algebra over a field , combinatorics , computer science , ecology , poaceae , biology , database

We explore some properties of Schreier split epimorphisms between monoids, which correspond to monoid actions. In particular, we prove that the split short five lemma holds for monoids, when it is restricted to Schreier split epimorphisms, and that any Schreier reflexive relation is transitive, partially recovering in monoids a classical property of Mal’tsev varieties

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