Certain subsemigroups of orthodox semigroups (Q1061865)
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scientific article; zbMATH DE number 3910649
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Certain subsemigroups of orthodox semigroups |
scientific article; zbMATH DE number 3910649 |
Statements
Certain subsemigroups of orthodox semigroups (English)
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1985
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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.
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orthodox semigroup
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band of idempotents
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least fundamental inverse congruence
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union of maximal subgroups
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