科研之友
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摘要
Let A be a ring, let M be an A-bimodule, and let C be the center of M. A map F : A. M is said to be range-inclusive if [F(x), A] subset of [x, M] for every x is an element of A. Recently, Bresar proved that if A is a unital ring and M a unital A-bimodule such that A contains wide idempotents, then every range-inclusive additive map F : A -> M is of the form F(x) = lambda x + mu(x) for some lambda is an element of C and mu : A -> C. Our main purpose is to remove the assumption of unitality in the above result.
- 出版日期2009
- 单位吉林师范大学
