In this paper, we introduce a concept that is called weak Near-Armendariz ring, in which it is a generalization of both Armendariz rings and 2-primal rings. We show the basic properties of weak Near-Armendariz rings and prepare some typical examples. It is proved that direct limit of a direct system of weak Near-Armendariz rings is also a weak Near-Armendariz ring.
机构:
Shandong Inst Business & Technol, Sch Math & Informat Sci, Yantai 264005, Peoples R ChinaShandong Inst Business & Technol, Sch Math & Informat Sci, Yantai 264005, Peoples R China
机构:
Shandong Inst Business & Technol, Sch Math & Informat Sci, Yantai 264005, Peoples R ChinaShandong Inst Business & Technol, Sch Math & Informat Sci, Yantai 264005, Peoples R China
机构:
NW Normal Univ, Dept Math, Lanzhou 730070, Peoples R China
Southeast Univ, Dept Math, Nanjing 210096, Peoples R ChinaNW Normal Univ, Dept Math, Lanzhou 730070, Peoples R China
Zhang, Cuiping
Chen, Jianlong
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机构:
Southeast Univ, Dept Math, Nanjing 210096, Peoples R ChinaNW Normal Univ, Dept Math, Lanzhou 730070, Peoples R China