Near-rings with chain conditions on right annihilators
نویسندگان
چکیده
منابع مشابه
Rings with Annihilator Chain Conditions and Right Distributive Rings
We prove that if a right distributive ring R, which has at least one completely prime ideal contained in the Jacobson radical, satisfies either a.c.c or d.c.c. on principal right annihilators, then the prime radical of R is the right singular ideal of R and is completely prime and nilpotent. These results generalize a theorem by Posner for right chain rings.
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ژورنال
عنوان ژورنال: Proceedings of the Edinburgh Mathematical Society
سال: 1980
ISSN: 0013-0915,1464-3839
DOI: 10.1017/s0013091500003667