Coextensions of pseudo-Inverse semigroups by rectangular bands
نویسندگان
چکیده
منابع مشابه
Bands of Semigroups
In studying a general semigroup S, a natural thing to do is to decompose 5 (if possible) into the class sum of a set {Sa; aCl} of mutually disjoint subsemigroups Sa such that (1) each Sa belongs to some more or less restrictive type 13 of semigroup, and (2) the product SaSfi of any two of them is wholly contained in a third: SaSpClSy, for some yCI depending upon a and /3. We shall then say that...
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In [3] Bruns, Gubeladze, and Trung define the notion of polytopal semigroup ring as follows. Let P be a lattice polytope in R, i. e. a polytope whose vertices have integral coordinates, and K a field. Then one considers the embedding ι : R → R, ι(x) = (x, 1), and chooses SP to be the semigroup generated by the lattice points in ι(P ); the K-algebra K[SP ] is called a polytopal semigroup ring. S...
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It is known that ring and semigroup theories have evolved many similar methods. The exchange of ideas between these theories has enriched both of them. Among ring concepts transfered to semigroups, the notion of a radical deserves mentioning. The analogy with radicals of rings suggests that semigroup radicals may be applicable in studying the structure of semigroups. On the other hand, many str...
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ژورنال
عنوان ژورنال: Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
سال: 1980
ISSN: 0263-6115
DOI: 10.1017/s1446788700021935