ON ANNIHILATOR PROPERTIES OF INVERSE SKEWPOWER SERIES RINGS
Publish place: Journal of Algebraic Systems، Vol: 2، Issue: 2
Publish Year: 1393
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_JAS-2-2_003
تاریخ نمایه سازی: 13 مرداد 1394
Abstract:
Let be an automorphism of a ring R. The authors [On skew inverse Laurent-serieswise Armendariz rings, Comm. Algebra 40(1) (2012) 138-156] applied the concept of Armendariz rings to inverse skew Laurent series rings and introduced skew inverse Laurent-serieswise Armendariz rings. In this article, we study on a special type of these rings and introduce strongly Armendariz rings of inverse skew power series type. We determine the radicals of the inverse skew Laurent series ring R((x_1;a )), in terms of those of R. We also prove that several properties transfer between R and the inverse skew Laurent series extension R((x-1; a )), in case R is a strongly Armendariz ring of inverse skew power series type.
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