Normal Semigroups of Partial Transformations, I

Inessa Levi and W. Wiley Williams
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Inessa Levi: University of Louisville, Department of Mathematics
W. Wiley Williams: University of Louisville, Department of Mathematics

A chapter in Lattices, Semigroups, and Universal Algebra, 1990, pp 173-183 from Springer

Abstract: Abstract A semigroup S of transformations of an infinite set X is called G x-normal if it is invariant under conjugations by permutations of X. A semigroup S is normally generated by a transformation f if S is the smallest G x-normal semigroup containing f. In this paper we present a description of elements of semigroups normally generated by partial one-to-one transformations.

Date: 1990
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DOI: 10.1007/978-1-4899-2608-1_19

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