Uniserial rings of skew generalized power series

被引：17
|
作者：
Mazurek, R. [1 ]
Ziembowski, M. [1 ]
机构：
[1] Bialystok Tech Univ, Fac Comp Sci, PL-15351 Bialystok, Poland
来源：
JOURNAL OF ALGEBRA | 2007年 / 318卷 / 02期
关键词：
skew generalized power series ring; right uniserial ring; strictly ordered monoid; right chain monoid;
D O I：
10.1016/j.jalgebra.2007.08.024
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let R be a ring, S a strictly ordered monoid and (omega: S -> End(R) a monoid homomorphism. In this paper we obtain some necessary conditions for the skew generalized power series ring R[S,omega] to be right (respectively left) uniserial, and we prove that these conditions are also sufficient when the monoid S is commutative or totally ordered. (c) 2007 Elsevier Inc. All rights reserved.
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页码：737 / 764
页数：28
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