Inverse semigroups whose full inverse subsemigroups form a chain
نویسندگان
چکیده
منابع مشابه
Permutative Semigroups Whose Congruences Form a Chain ∗
Semigroups whose congruences form a chain are often termed ∆-semigroups. The commutative ∆-semigroups were determined by Schein and by Tamura. A natural generalization of commutativity is permutativity: a semigroup is permutative if it satisfies a non-identity permutational identity. We completely determine the permutative ∆-semigroups. It turns out that there are only six noncommutative exampl...
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For any amalgam (S, T; U) of inverse semigroups, it is shown that the natural partial order on S *u T, the (inverse semigroup) free product of S and T amalgamating U, has a simple form onSUT. In particular, it follows that the semilattice of 5 *u T is a bundled semilattice of the corresponding semilattice amalgam (E(S), E(T); E(U)); taken jointly with a result of Teruo Imaoka, this gives that t...
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ژورنال
عنوان ژورنال: Glasgow Mathematical Journal
سال: 1981
ISSN: 0017-0895,1469-509X
DOI: 10.1017/s0017089500004626