On the Directly and Subdirectly Irreducible Many-Sorted Algebras

A theorem of single-sorted universal algebra asserts that every finite algebra can be represented as a product of a finite family of finite directly irreducible algebras. In this article, we show that the many-sorted counterpart of the above theorem is also true, but under the condition of requiring...

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Bibliographic Details
Main Authors: Climent Vidal J., Soliveres Tur J.
Format: Article
Language:English
Published: De Gruyter 2015-03-01
Series:Demonstratio Mathematica
Subjects:
Online Access:http://www.degruyter.com/view/j/dema.2015.48.issue-1/dema-2015-0001/dema-2015-0001.xml?format=INT