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Extensions of zip rings |
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| Authors: | Chan Yong Hong Nam Kyun Kim |
| Affiliation: | a Department of Mathematics and Research Institute for Basic Sciences, Kyung Hee University, Seoul 130-701, Republic of Korea b Division of General Education, Hanbat National University, Daejeon 305-719, Republic of Korea c Department of Mathematics, Daejin University, Pocheon 487-711, Republic of Korea d Department of Mathematics Education, Pusan National University, Pusan 609-735, Republic of Korea |
| Abstract: | A ring R is called right zip provided that if the right annihilator rR(X) of a subset X of R is zero, rR(Y)=0 for a finite subset Y⊆X. Faith [5] raised the following questions: When does R being a right zip ring imply R[x] being right zip?; Characterize a ring R such that Matn(R) is right zip; When does R being a right zip ring imply R[G] being right zip when G is a finite group? In this note, we continue the study of the extensions of noncommutative zip rings based on Faith's questions. |
| Keywords: | primary: 16D25 16P60 secondary: 16S34 16S36 |
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