Menger algebras of k-commutative n-place functions

被引：10

作者：

Dudek, Wieslaw A. ^{[1
]}

Trokhimenko, Valentin S. ^{[2
]}

机构：

[1] Wroclaw Univ Sci & Technol, Fac Pure & Appl Math, PL-50370 Wroclaw, Poland

[2] Pedag Univ, Dept Math, UA-21100 Vinnitsa, Ukraine

来源：

GEORGIAN MATHEMATICAL JOURNAL | 2021年 / 28卷 / 03期

关键词：

Menger algebra; algebra of multiplace functions; sv-ideals; inner automorphism;

D O I：

10.1515/gmj-2019-2072

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the set of all k-commutative n-place functions defined on a fixed set forms a Menger algebra, and characterize such algebras by their densely embedded ideals. We also describe all automorphisms of such algebras.

引用

页码：355 / 361

页数：7

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