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Please use this identifier to cite or link to this item:
http://ir.ncue.edu.tw/ir/handle/987654321/15014
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| Title: | Quotient Rings and f-Radical Extensions of Rings |
| Authors: | Chuang, Chen-Lian;Lee, Tsiu-Kwen;Liu, Cheng-Kai |
| Contributors: | 數學系 |
| Keywords: | f-Radical extension;GPI;PI;Prime algebra;Quotient ring |
| Date: | 2009-09
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| Issue Date: | 2013-01-07T01:43:53Z
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| Publisher: | Taylor&Francis |
| Abstract: | By testing quotient rings, we give another viewpoint concerning the relationship between PI and Goldie properties, etc., and f-radical extensions of rings. The main result proved here is as follows: Let R be a prime algebra without nonzero nil right ideals. Suppose that R is f-radical over a subalgebra A, where f(X 1,…, X t ) is a multilinear polynomial, not an identity for p × p matrices in case char R = p > 0. Suppose that f is not power-central valued in R. Then the maximal ring of right (left) quotients of A coincides with that of R. Moreover, R is right Goldie if and only if A is. |
| Relation: | Communications in Algebra, 37(9): 2933-2944 |
| Appears in Collections: | [數學系] 期刊論文
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