Commutativity of rings with contraints on nilpotents and nonnilpotents
نویسندگان
چکیده
منابع مشابه
On Commutativity of Semiperiodic Rings
Let R be a ring with center Z, Jacobson radical J , and set N of all nilpotent elements. Call R semiperiodic if for each x ∈ R\ (J ∪Z), there exist positive integers m, n of opposite parity such that x − x ∈ N . We investigate commutativity of semiperiodic rings, and we provide noncommutative examples. Mathematics Subject Classification (2000). 16U80.
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ژورنال
عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences
سال: 1989
ISSN: 0161-1712,1687-0425
DOI: 10.1155/s0161171289000591