Bull. Korean Math. Soc. 2008; 45(2): 263-267
Printed June 1, 2008
Copyright © The Korean Mathematical Society.
Yong Uk Cho
Silla University
Kaplansky introduced the Baer rings as rings in which every left (or right) annihilator of each subset is generated by an idempotent. On the other hand, Hattori introduced the left (resp. right) P.P. rings as rings in which every principal left (resp. right) ideal is projective. The purpose of this paper is to introduce the near-rings with Baer like condition and near-rings with P.P. like condition which are somewhat different from ring case, and to extend the results of Armendariz and J\o ndrup.
Keywords: Baer rings, left (resp. right) Baer near-rings, left (resp. right) P.P. rings and left (resp. right) P.P. near-rings
MSC numbers: Primary 16Y30
2001; 38(1): 137-142
2004; 41(4): 657-664
2008; 45(2): 285-297
2009; 46(6): 1041-1050
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