In this paper, we get some new characterizations of pseudo-similarity for semi-groups. As an application, we deduce that if R is a QB-ring then asimilar or equal tob in R if and only if for all n is an element of N, there exists u is an element of R-q(-1) such that a(n) = ub(n)u(q)(-1) and b(n) = u(q)(-1)a(n)u.
机构:
Jiangxi Normal Univ, Dept Math, Nanchang 330022, Peoples R ChinaJiangxi Normal Univ, Dept Math, Nanchang 330022, Peoples R China
Guo, Xiao Jiang
Jun, Young Bae
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机构:
Gyeongsang Natl Univ, RINS, Chinju 660701, South Korea
Gyeongsang Natl Univ, Dept Math Educ, Chinju 660701, South KoreaJiangxi Normal Univ, Dept Math, Nanchang 330022, Peoples R China
Jun, Young Bae
Zhao, Ming
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机构:
Jiangxi Med Coll, Teaching & Res Sect Math, Shangrao Branch, Shangrao 334000, Peoples R ChinaJiangxi Normal Univ, Dept Math, Nanchang 330022, Peoples R China
机构:
Department of Mathematics Education and RINS, Gyeongsang National UniversityDepartment of Mathematics Education and RINS, Gyeongsang National University