On the normal ideals of exchange rings |
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| Authors: | D. Lu T. Wu |
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| Affiliation: | (1) Suzhou University, Suzhou, P. R. China;(2) Shanghai Jiaotong University, Shanghai, P. R. China |
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| Abstract: | An ideal I of a ring R is called normal if all idempotent elements in I lie in the center of R. We prove that if I is a normal ideal of an exchange ring R then: (1) R and R/I have the same stable range; (2) V(I) is an order-ideal of the monoid C(Specc(R), N), where Specc(R) consists of all prime ideals P such that R/P is local. |
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| Keywords: | exchange ring normal specc(R) monoid order-ideal |
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