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s-单式环的交换性定理(英文)
引用本文:Abujabal H. A. S.,Khan M. S.. s-单式环的交换性定理(英文)[J]. 吉林大学学报(理学版), 1991, 0(3)
作者姓名:Abujabal H. A. S.  Khan M. S.
作者单位:Department of Mathematics,Facnlty of Science King Abdal Aziz University P. O. Bax 31464,Jeddah-21497 SAUDI ARABIA,Department of Mathematics,Facnlty of Science King Abdal Aziz University P. O. Bax 31464,Jeddah-21497 SAUDI ARABIA
摘    要:本文将文献[3]的引理1推广到s-单式环上,并用迭代技术给出文献[4]的定理2一个简易的证明,将若干有1环的交换性定理推广到s-单式环上。

关 键 词:s-单式环  有1环  多项恒等式  扭自由环  交换环

Commutativity Theorems for s-Unital Rings
Abujabal H. A. S. and Khan M. S.. Commutativity Theorems for s-Unital Rings[J]. Journal of Jilin University: Sci Ed, 1991, 0(3)
Authors:Abujabal H. A. S. and Khan M. S.
Abstract:In this paper, we generalize Lemma l of [3] to s-unital rings. An easy and short proof for [4, Theorem 2] is given using the iteration technique. Further, the iteration technique has been also used to generalize some commutativity theorems for rings with unity I to s-unital rings.
Keywords:s-unital rings   rings with unity   polynomial idcntity   torsion free rings   commutativity
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