Degenerate alternative algebras |
| |
Authors: | S V Pchelintsev |
| |
Institution: | 1. Finance Academy of the Government of the Russian Federation, Moscow City Pedagogical University, Moscow, Russia
|
| |
Abstract: | We prove that each degenerate alternative algebra of characteristic ≠ 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. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|