JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2015, Vol. 50 ›› Issue (03): 88-94.doi: 10.6040/j.issn.1671-9352.0.2014.333

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On a generalization of strongly α-revesible rings

WEI Jie, DONG Jun   

  1. Department of Basic Courses, Lanzhou Polytechnic College, Lanzhou 730050, Gansu, China
  • Received:2014-07-15 Revised:2014-12-30 Online:2015-03-20 Published:2015-03-13

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Abstract: The notions of strongly (M-)α-reflexive rings are introduced which are a general version of strongly α-revesible rings, and investigate their properties. It is show that strongly α-revesible rings are strongly α-reflexive rings, but the converse is not true. And argue about the strongly (M-)α-reflexivity of some kinds of extensions. A number of properties of these versions are established.

Key words: reduce ring, (strongly) α-revesible ring, strongly M-α-reflexive ring, (strongly) α-reflexive ring

CLC Number: 

  • O153.3
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