Von-Neumann Finiteness and Reversibility in some Classes of Non-Associative Algebras

被引：0
|
作者：
Erik Darpö
Patrik Nystedt
机构：
[1] Nagoya University,Graduate School of Mathematics
[2] University West,Department of Engineering Science
来源：
Algebras and Representation Theory | 2021年 / 24卷
关键词：
Von-Neumann finite; Dedekind finite; Directly finite; Reversible; Quadratic algebra; Involutive algebra; 17D05; 16K20; 17C55; 16W10; 16U99;
D O I：
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中图分类号：
学科分类号：
摘要：
We investigate criteria for von-Neumann finiteness and reversibility in some classes of non-associative algebras. Types of algebras that are studied include alternative, flexible, quadratic and involutive algebras, as well as algebras obtained by the Cayley–Dickson doubling process. Our results include precise criteria for von-Neumann finiteness and reversibility of involutive algebras in terms of isomorphism types of their 3-dimensional subalgebras.
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页码：1245 / 1258
页数：13
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