TY - JOUR
ID - 2402
TI - Left I-quotients of band of right cancellative monoids
JO - Journal of Algebra and Related Topics
JA - JART
LA - en
SN - 2345-3931
AU - Ghroda, N.
AD - Al-Ghrabi University
Y1 - 2017
PY - 2017
VL - 5
IS - 1
SP - 11
EP - 25
KW - I-orders
KW - I-quotients
KW - right cancellative monoid
KW - inverse hull
DO - 10.22124/jart.2017.2402
N2 - 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.
UR - https://jart.guilan.ac.ir/article_2402.html
L1 - https://jart.guilan.ac.ir/article_2402_6a9e9726321356602bbe3cb751ec727a.pdf
ER -