On the formal power series algebras generated by a vector space and a linear functional
Publish place: Journal of Hyperstructures، Vol: 6، Issue: 1
Publish Year: 1396
نوع سند: مقاله ژورنالی
زبان: English
View: 47
This Paper With 9 Page And PDF Format Ready To Download
- Certificate
- من نویسنده این مقاله هستم
استخراج به نرم افزارهای پژوهشی:
شناسه ملی سند علمی:
JR_JHSMS-6-1_001
تاریخ نمایه سازی: 16 بهمن 1402
Abstract:
Let R be a vector space ( on C) and ϕ be an element of R∗ (the dual space of R), the product r · s = ϕ(r)s converts R into an associative algebra that we denote it by Rϕ. We characterize the nilpotent, idempotent and the left and right zero divisor elements of Rϕ[[x]]. Also we show that the set of all nilpotent elements and also the set of all left zero divisor elements of Rϕ[[x]] are ideals of Rϕ[[x]].
Keywords:
Authors
A. R. Khoddami
Department of Pure Mathematics, Shahrood University of Technology, P.O.Box ۳۶۱۹۹۹۵۱۶۱-۳۱۶, Shahrood, Iran.