REES SHORT EXACT SEQUENCES OF S-POSETS
REES SHORT EXACT SEQUENCES OF S-POSETS
Summary: In this paper the notion of Rees short exact sequence for \(S\)-posets is introduced, and we investigate the conditions for which these sequences are left or right split. Unlike the case for \(S\)-acts, being right split does not imply left split. Furthermore, we present equivalent conditions of a right \(S\)-poset \(P\) for the functor \(\mathrm{Hom}(P,-)\) to be exact.
- Fasa University Iran (Islamic Republic of)
\(S\)-posets, pomonoids, Representation of semigroups; actions of semigroups on sets, Ordered semigroups and monoids, Connections of semigroups with homological algebra and category theory, projective, Rees short exact sequence
\(S\)-posets, pomonoids, Representation of semigroups; actions of semigroups on sets, Ordered semigroups and monoids, Connections of semigroups with homological algebra and category theory, projective, Rees short exact sequence
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