منابع مشابه
Semilattice of Bisimple Regular Semigroups
The main purpose of this paper is to show that a regular semigroup S is a semilattice of bisimple semigroups if and only if it is a band of bisimple semigroups and that this holds if and only if 3) is a congruence on S. It is also shown that a quasiregular semigroup 5 which is a rectangular band of bisimple semigroups is itself bisimple. In [3, Theorem 4.4] it was shown that a semigroup S is a ...
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The aim of this paper is to classify all monogenic ternary semigroups, up to isomorphism. We divide them to two groups: finite and infinite. We show that every infinite monogenic ternary semigroup is isomorphic to the ternary semigroup O, the odd positive integers with ordinary addition. Then we prove that all finite monogenic ternary semigroups with the same index...
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We introduce the notions of a generalised category and of an inductive generalised category over a band. Our purpose is to describe a class of semigroups which we name weakly B-orthodox. In doing so we produce a new approach to characterising orthodox semigroups, by using inductive generalised groupoids. Here B denotes a band of idempotents; we note that if B is a semilattice then a weakly B-or...
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In this paper, we consider another generalization for quasi-ideal orthodox transversal, the so-called S0-orthodox transversals. We give a structure theorem for regular semigroups with S0-orthodox transversals. If S0 is a S0-orthodox transversal of S then S can be described in terms of S0. Mathematics Subject Classification: 20M10
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Presenting a paper to any conference with the name ‘Keynes’ in the title, particularly to one sponsored by the Post Keynesian Study Group, is fraught with danger. For the exegitical debate about ‘what Keynes really meant’ is often carried out with as much fervour as the arguments between the Fathers of the early Church. Indeed, some of the latter material has a familiar sound. Origen, for examp...
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ژورنال
عنوان ژورنال: Semigroup Forum
سال: 2008
ISSN: 0037-1912,1432-2137
DOI: 10.1007/s00233-008-9101-5