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TitleMaximal inverse subsemigroups of the symmetric inverse semigroup on a finite-dimensional vector space
Author(s)Gonçalves, Suzana Mendes
Sullivan, R. P.
KeywordsMaximal inverse subsemigroups
Linear transformation semigroups
Issue date2006
PublisherTaylor and Francis
JournalCommunications in Algebra
Citation"Communications in Algebra". ISSN 0092-7872. 34:3 (2006) 1055-1069.
Abstract(s)Yang (1999) classified the maximal inverse subsemigroups of all the ideals of the symmetric inverse semigroup $I(X)$ defined on a finite set $X$. Here we do the same for the semigroup $I(V)$ of all one-to-one partial linear transformations of a finite-dimensional vector space. We also show that $I(X)$ is almost never isomorphic to $I(V)$ for any set $X$ and any vector space $V$, and prove that any inverse semigroup can be embedded in some $I(V)$.
Publisher version
AccessOpen access
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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