National Changhua University of Education Institutional Repository : Item 987654321/15014

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NCUEIR > College of Science > math > Periodical Articles > Item 987654321/15014

Please use this identifier to cite or link to this item: http://ir.ncue.edu.tw/ir/handle/987654321/15014

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
Issue Date:	2013-01-07T01:43:53Z
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:	[math] Periodical Articles

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