On the Representation of Transposition Algebras and Non-commutative Cylindric Algebras

被引：0

作者：

Ferenczi, Miklós ^{[1
]}

机构：

[1] Budapest University of Technology, Institute of Mathematics, Hungary

来源：

Journal of Applied Logics | 2023年 / 10卷 / 01期

关键词：

Formal logic;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The two most successful algebraizations of first-order logic are the quasipolyadic algebras and cylindric algebras. The algebras in the title are noncommutative versions (concerning the cylindrifications) of these algebras, respectively. These two algebra classes appear similar to each other. Nevertheless transposition algebras are relativized representable, moreover they have nice representations, but non-commutative cylindric algebras are not, in general. The difference between these algebra classes concerning representability is analysed in the paper. © 2023, College Publications. All rights reserved.

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