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.

引用

页码：737 / 764

页数：28

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