Generalized Power Series over Zip and Weak Zip Rings

被引：0
|
作者：
Salem, R. M. [1 ]
机构：
[1] Al Azhar Univ, Fac Sci, Dept Math, Cairo 11884, Egypt
来源：
SOUTHEAST ASIAN BULLETIN OF MATHEMATICS | 2013年 / 37卷 / 02期
关键词：
Strictly ordered monoid; Artinian and narrow subset; Generalized power series rings; Zip rings; Weak zip rings; Armendari rings; Semicommutative rings;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we show that, if R is a generalized Armendariz (semicommu tative right Noetherian) ring and S is a strictly (strictly totally) ordered monoid, then the generalized power series ring Lambda - [[R-S,R->=]] is a right zip (weak zip) ring if and only if R is.
引用
收藏
页码：259 / 268
页数：10
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