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Orders in completely regular semigroups
Author(s) -
Petrich Mario
Publication year - 2001
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/s0025579300014455
Subject(s) - mathematics , semigroup , order (exchange) , combinatorics , regular semigroup , discrete mathematics , pure mathematics , special classes of semigroups , finance , economics
A subsemigroup S of a semigroup Q is an order in Q if, for every q ∈ Q , there exist a, b, c, d ∈ S such that q = a −1 b = cd −1 where a and d are contained in (maximal) subgroups of Q and a −1 and d −1 are their inverses in these subgroups. A semigroup which is a union of its subgroups is completely regular.