INJECTIVE PARTIAL TRANSFORMATIONS WITH INFINITE DEFECTS

Title & Authors
INJECTIVE PARTIAL TRANSFORMATIONS WITH INFINITE DEFECTS
Singha, Boorapa; Sanwong, Jintana; Sullivan, Robert Patrick;

Abstract
In 2003, Marques-Smith and Sullivan described the join $\small{{\Omega}}$ of the natural order $\small{\leq}$ and the containment order $\small{\subseteq}$ on P(X), the semigroup under composition of all partial transformations of a set X. And, in 2004, Pinto and Sullivan described all automorphisms of PS(q), the partial Baer-Levi semigroup consisting of all injective $\small{{\alpha}{\in}P(X)}$ such that \${\mid}X{\backslash}X{\alpha}\mid
Keywords
partial transformation semigroup;Baer-Levi semigroup;inverse semigroup;natural order;containment order;meet and join;
Language
English
Cited by
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