The uniqueness theorem for finite φ- representations of algebras
作者:
Andrzej Walendziak,
期刊:
Communications in Algebra
(Taylor Available online 1993)
卷期:
Volume 21,
issue 7
页码: 2463-2480
ISSN:0092-7872
年代: 1993
DOI:10.1080/00927879308824687
出版商: Marcel Dekker, Inc.
数据来源: Taylor
摘要:
In the present paper we consider φ-representations of algebras. (The concept of a φ-representation is denfined in [7] more generaly.) we characterize such representations in terms of congruence relations (see Theorems 1 and 2). The main result of our paper is a unique factorization theorem (cf. Theorem 3). This result implies some classical theorems on direct and subdirect products.
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