mv -钻机和乘积mv -代数

Q1 Arts and Humanities

Journal of Applied Non-Classical Logics Pub Date : 2018-12-05 DOI:10.1080/11663081.2018.1534795

Alejandro Estrada, Y. Poveda

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引用次数: 1

摘要

摘要介绍了多值弱钻机(mvw -rig)的种类。我们给出了一个公理化，并在此背景下建立了关于理想、同态、商和根的基本性质。这类新代数包含了由Di Nola和dvure enskij在2001年和Montagna在2005年提出的积mv代数。主要的结果是这个新类的素谱的紧性，并赋予了Dubuc和Poveda在2010年定义的co-Zariski拓扑。

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MVW-rigs and product MV-algebras

ABSTRACT We introduce the variety of Many-Valued-Weak rigs (MVW-rigs). We provide an axiomatisation and establish, in this context, basic properties about ideals, homomorphisms, quotients and radicals. This new class contains the class of product MV-algebras presented by Di Nola and Dvurečenskij in 2001 and by Montagna in 2005. The main result is the compactness of the prime spectrum of this new class, endowed with the co-Zariski topology as defined by Dubuc and Poveda in 2010.

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来源期刊

Journal of Applied Non-Classical Logics Arts and Humanities-Philosophy

CiteScore

1.30

自引率

0.00%

发文量