期刊
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS
卷 12, 期 4, 页码 -出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S1793557119500566
关键词
Transformation semigroups; transformations with invariant set; left magnifying elements; right magnifying elements
类别
资金
- Algebra and Applications Research Unit, Prince of Songkla University
Let T(X) be a semigroup of all transformations on a set X. Let Y be a fixed nonempty subset of X and S(X, Y) = {f is an element of T(X)vertical bar(Y)f subset of Y}. Then S(X, Y) is a subsemigroup of T(X) which leaves a subset Y of X invariant. If Y = X, then S(X, Y) = S(X, X) = T(X). In this paper, we give necessary and sufficient conditions for elements in S(X, Y) to be left or right magnifying.
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