Concerning congruences on symmetric inverse semigroups
نویسندگان
چکیده
منابع مشابه
Homomorphisms and congruences on regular semigroups with associate inverse subsemigroups
An associate inverse subsemigroup of a regular semigroup S is a subsemigroup T of S containing a least associate x∗ of each x ∈ S, in relation to the natural partial order ≤S in S. In [1] the authors describe the structure of regular semigroups with an associate inverse subsemigroup, satisfying two natural conditions. In this paper we describe all ∗-congruences on such class of semigroups.
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Let S be a regular semigroup and let p be a congruence relation on S. The kernel of p, in notation kerp, is the union of the idempotent p-classes. The trace of p, in notation trp, is the restriction of p to the set of idempotents of S. The pair (kerp,trp) is said to be the congruence pair associated with p. Congruence pairs can be characterized abstractly, and it turns out that a congruence is ...
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We obtain Schur-Weyl dualities in which the algebras, acting on both sides, are semigroup algebras of various symmetric inverse semigroups and their deformations. AMS Subject Classification: 20M18; 16S99; 20M30; 05E10
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ژورنال
عنوان ژورنال: Czechoslovak Mathematical Journal
سال: 1973
ISSN: 0011-4642,1572-9141
DOI: 10.21136/cmj.1973.101138