منابع مشابه
Almost Factorizable Locally Inverse Semigroups
A factorizable inverse monoid can be identified, up to isomorphism, with an inverse submonoid M of a symmetric inverse monoid I(X) where each element of M is a restriction of a permutation of X belonging to M . So factorizable inverse monoids are natural objects, and appear in a number of branches of mathematics, cf. [12], [4]. The notion of an almost factorizable inverse semigroup was introduc...
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We study inverse semigroup amalgams of the form S U T where S and T are free inverse semigroups and U is an arbitrary nitely generated inverse subsemigroup of S and T. We make use of recent work of Bennett to show that the word problem is decidable for any such amalgam. This is in contrast to the general situation for semigroup amalgams, where recent work of Birget, Margolis and Meakin shows th...
متن کاملFree profinite locally idempotent and locally commutative semigroups
This paper is concerned with the structure of semigroups of implicit operations on the pseudovariety LSl of finite locally idempotent and locally commutative semigroups. We depart from a general result of Almeida and Weil to give two descriptions of these semigroups: the first in terms of infinite words, and the second in terms of infinite and bi-infinite words. We then derive some applications...
متن کاملExpansions , Free Inverse Semigroups , and Schiitzenberger Product
In this paper we shall present a new constructron of the free inverse monoid on a set A’. Contrary to the prevrous constructions of 19, 111, our construction is symmetric and originates from classrcal ideas of language theory. The mgredlents of this construction are the free group on X and the relatron that associates to a word II’ of the free monoid on X, the set of all pairs (u, v) such that ...
متن کاملGrÖbner-shirshov Bases for Free Inverse Semigroups
A new construction for free inverse semigroups was obtained by Poliakova and Schein in 2005. Based on their result, we find Gröbner-Shirshov bases for free inverse semigroups with respect to the deg-lex order of words. In particular, we give the (unique and shortest) normal forms in the classes of equivalent words of a free inverse semigroup together with the Gröbner-Shirshov algorithm to trans...
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ژورنال
عنوان ژورنال: Czechoslovak Mathematical Journal
سال: 1993
ISSN: 0011-4642,1572-9141
DOI: 10.21136/cmj.1993.128418