Abstract. This article defines cancellative coextensions and generalized coset extensions for commutative semigroups and studies their first properties, including their relationship to Ponizovsky families and completions.
AMS Subject Classification
(1991): 20M14
Keyword(s):
cancellative coextension,
generalized coset,
congruence,
commutative semigroup,
subelementary semigroup,
subcomplete semigroup,
Ponizovsky family,
completion
Received August 14, 2002. (Registered under 2916/2009.)
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