Monoids for which condition (P) acts are projective
Monoids for which condition (P) acts are projective
A characterisation of monoids for which all right S-acts satisfying condition (P) are projective is given. We also give a new characterisation of those monoids for which all cyclic right S-acts satisfying condition (P) are projective, similar in nature to recent work by Kilp [6]. In addition we give a sufficient condition for all right S-acts that satisfy condition (P) to be strongly flat and show that the indecomposable acts that satisfy condition (P) are the locally cyclic acts.
semigroup, monoid, condition (P), projective, S-act
46-56
Renshaw, James
350100c1-f7c7-44d3-acfb-29b94f21731c
2000
Renshaw, James
350100c1-f7c7-44d3-acfb-29b94f21731c
Renshaw, James
(2000)
Monoids for which condition (P) acts are projective.
Semigroup Forum, 61 (1), .
(doi:10.1007/PL00006014).
Abstract
A characterisation of monoids for which all right S-acts satisfying condition (P) are projective is given. We also give a new characterisation of those monoids for which all cyclic right S-acts satisfying condition (P) are projective, similar in nature to recent work by Kilp [6]. In addition we give a sufficient condition for all right S-acts that satisfy condition (P) to be strongly flat and show that the indecomposable acts that satisfy condition (P) are the locally cyclic acts.
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Published date: 2000
Keywords:
semigroup, monoid, condition (P), projective, S-act
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Local EPrints ID: 41121
URI: http://eprints.soton.ac.uk/id/eprint/41121
ISSN: 0037-1912
PURE UUID: d5aa4ce9-dcff-421c-80aa-69e054aac148
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Date deposited: 19 Jul 2006
Last modified: 16 Mar 2024 02:39
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