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arXiv 2002.06560math.RA
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无界分配格上的捎带

Piggybacking over unbounded distributive lattices

Leonardo M. Cabrer, Hilary A. Priestley

摘要:

本文填补了自然对偶理论文献中的一个空白。它涉及的对偶表示类的分配格为基础的代数,其中的格约简不被假定有界。理论的发展,以平行什么是已知的详尽研究有界的情况下,最初是由需要驱动。这出现在与一个重大调查杉原代数和杉原幺半群。本文中的定理以系统的方式适用于一系列的例子:品种杉原型;其他类别的代数先前处理专案;和进一步的类所需的。

英文摘要:

This paper fills a gap in the literature on natural duality theory. It concerns dual representations of categories of distributive-lattice-based algebras in which the lattice reducts are not assumed to have bounds. The development of theory to parallel what is known for the exhaustively-studied bounded case was initially driven by need. This arose in connection with a major investigation of Sugihara algebras and Sugihara monoids. The theorems in this paper apply in a systematic way to a range of examples:varieties of Sugihara type; other classes of algebras previously treated ad hoc; and further classes as required.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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