Degenerate alternative algebras

被引：6

作者：

Pchelintsev, S. V. ^{[1
]}

机构：

[1] Moscow City Pedag Univ, Finance Acad, Govt Russian Federat, Moscow, Russia

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2014年 / 55卷 / 02期

基金：

巴西圣保罗研究基金会; 俄罗斯基础研究基金会;

关键词：

alternative algebra; absolute zero divisor of an arbitrary order; exceptional prime algebra; C-operation; identity; alternative monster; isotope;

D O I：

10.1134/S0037446614020153

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that each degenerate alternative algebra of characteristic not equal 2 contains a nonzero ideal with an additive basis consisting of the absolute zero divisors of an arbitrary large order. As a corollary we establish the existence of infinitely many nonisomorphic commutative prime alternative algebras and existence of infinite series of strict and nonstrict exceptional alternative algebras with different sets of proper identities.

引用

页码：323 / 335

页数：13

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