%0 Journal Article
%T Left I-quotients of band of right cancellative monoids
%J Journal of Algebra and Related Topics
%I University of Guilan
%Z 2345-3931
%A Ghroda, N.
%D 2017
%\ 06/01/2017
%V 5
%N 1
%P 11-25
%! Left I-quotients of band of right cancellative monoids
%K I-orders
%K I-quotients
%K right cancellative monoid
%K inverse hull
%R 10.22124/jart.2017.2402
%X Let $Q$ be an inverse semigroup. A subsemigroup $S$ of $Q$ is a left I-order in $Q$ and $Q$ is a semigroup of left I-quotients of $S$ if every element $qin Q$ can be written as $q=a^{-1}b$ for some $a,bin S$. If we insist on $a$ and $b$ being $er$-related in $Q$, then we say that $S$ is straight in $Q$. We characterize semigroups which are left I-quotients of left regular bands of right cancellative monoids with certain conditions.
%U https://jart.guilan.ac.ir/article_2402_6a9e9726321356602bbe3cb751ec727a.pdf