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초록· 키워드
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Kaplansky introduced the Baer rings as rings in which everyleft (or right) annihilator of each subset is generated by an idempotent.On the other hand, Hattori introduced the left (resp. right) P.P. ringsas rings in which every principal left (resp. right) ideal is projective.The purpose of this paper is to introduce the near-rings with Baer likecondition and near-rings with P.P. like condition which are somewhatdierent from ring case, and to extend the results of Armendariz andJøndrup.
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참고문헌 (9)
참고문헌 신청
A. Hattori / 1960 / A foundation of torsion theory for modules over general rings / Nagoya Mathematics Journal 17 : 147 ~ 158
D. Ramakotaiah / 1987 / Reduced near-rings, Near-rings and near-fields (Tubingen, 1985) / North-Holland Mathematics Studies 137 : 233 ~ 243
E. P. Armendariz / 1974 / A note on extensions of Baer and P.P.-rings / Journal of the Australian Mathematical Society 18 : 470 ~ 473
G. Pilz / 1983 / Near-Rings / North-Holland Publishing Co.
I. Kaplansky / 1968 / Rings of Operators / W. A. Benjamin, Inc.
D. Ramakotaiah / 1987 / Reduced near-rings, Near-rings and near-fields (Tubingen, 1985) / North-Holland Mathematics Studies 137 : 233 ~ 243
E. P. Armendariz / 1974 / A note on extensions of Baer and P.P.-rings / Journal of the Australian Mathematical Society 18 : 470 ~ 473
G. Pilz / 1983 / Near-Rings / North-Holland Publishing Co.
I. Kaplansky / 1968 / Rings of Operators / W. A. Benjamin, Inc.
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