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Pseudo-similarity in Semigroups

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Abstract

In this paper, we get some new characterizations of pseudo-similarity for semigroups. As an application, we deduce that if R is a QB-ring then $a \barsim b$ in R if and only if for all $n \memb N$, there exists $u \memb$ R-1 q such that an = ubnu-1 q and bn = u-1 q anu.

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  1. Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, China

    Huanyin Chen

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  1. Huanyin Chen
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Correspondence to Huanyin Chen.

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Chen, H. Pseudo-similarity in Semigroups. Semigroup Forum 68, 59–63 (2004). https://doi.org/10.1007/s00233-002-0017-1

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  • DOI: https://doi.org/10.1007/s00233-002-0017-1

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