
doi: 10.1007/bf02575535
Let S be an orthodox semigroup and E(S) the band of idempotents of S. The author describes (1) the least fundamental inverse congruence on S, (2) the greatest subsemigroup of S containing E(S) which is a union (band) of groups, and (3) a necessary and sufficient condition for the union of maximal subgroups of S to be a subsemigroup of S.
least fundamental inverse congruence, 510.mathematics, Mappings of semigroups, orthodox semigroup, union of maximal subgroups, General structure theory for semigroups, Article, band of idempotents
least fundamental inverse congruence, 510.mathematics, Mappings of semigroups, orthodox semigroup, union of maximal subgroups, General structure theory for semigroups, Article, band of idempotents
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