대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제45권2호
  • /
  • Pages.263-267
  • /
  • 2008
  • /
  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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NEAR-RINGS WITH LEFT BAER LIKE CONDITIONS

  • Cho, Yong-Uk (Department of Mathematics Education College of Education Silla University)
  • 발행 : 2008.05.31
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초록

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 Arendariz and Jondrup.

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참고문헌

  1. E. P. Armendariz, A note on extensions of Baer and P.P.-rings, J. Austral. Math. Soc. 18 (1974), 470-473 https://doi.org/10.1017/S1446788700029190
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  4. A. Hattori, A foundation of torsion theory for modules over general rings, Nagoya Math. J. 17 (1960), 147-158 https://doi.org/10.1017/S0027763000002099
  5. S. Jondrup, P.P. rings and finitely generated flat ideals, Proc. Amer. Math. Soc. 28 (1971), 431-435
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