右消半群带的左i商

Q4 Mathematics

Journal of Algebra and Related Topics Pub Date : 2017-06-01 DOI:10.22124/JART.2017.2402

N. Ghroda

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引用次数: 0

摘要

设$Q$是一个逆半群。$Q$的子半群$S$是$Q$中的左I-阶，$Q$是$S$的左I--商的半群，如果每个元素$qin Q$都可以写成$Q=A^{-1}b$换一些$a，bin S$。如果我们坚持$a$和$b$在$Q$中是$er$相关的，那么我们就说$S$在$Q中是直接的。我们在一定条件下刻画了半群的性质，这些半群是右可消去半群的左正则带的左I-商。

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Left I-quotients of band of right cancellative monoids

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.

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来源期刊

Journal of Algebra and Related Topics Mathematics-Discrete Mathematics and Combinatorics

CiteScore

0.60

自引率

0.00%

发文量

审稿时长

16 weeks