半仿射代数的完备性判据

[1992] Proceedings The Twenty-Second International Symposium on Multiple-Valued Logic Pub Date : 1992-05-27 DOI:10.1109/ISMVL.1992.186812

Á. Szendrei

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引用次数: 2

摘要

如果半仿射代数是一个简单的仿射代数，则认为它是完全的，并研究了在什么条件下半仿射代数是完全的问题。确定了关于初等阿贝尔群的半仿射有限代数a是完备的，当且仅当a不允许群的非平凡同余，不允许群的q正则族对应的q正则关系，且a不同构于一元半仿射代数的矩阵幂。

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A completeness criterion for semi-affine algebras

A semi-affine algebra is considered complete if it is a simple affine algebra, and the question of under what conditions a semi-affine algebra is complete is investigated. It is determined that a finite algebra A that is semi-affine with respect to an elementary Abelian group is complete if and only if A admits no nontrival congruence of the group and no q-regular relation corresponding to a q-regular family of congruences of the group, and A is not isomorphic to a matrix power of a unary semi-affine algebra.<>

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[1992] Proceedings The Twenty-Second International Symposium on Multiple-Valued Logic

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