Degree four identities not implied by commutativity
作者:
Luisa Carin,
Irvin R. Hentzel,
Giulia Maria Piacentini Cattaneo,
期刊:
Communications in Algebra
(Taylor Available online 1988)
卷期:
Volume 16,
issue 2
页码: 339-356
ISSN:0092-7872
年代: 1988
DOI:10.1080/00927878808823575
出版商: Gordon and Breach Science Publishers Ltd.
数据来源: Taylor
摘要:
We classify all (reducible or irreducible) degree four identities not implied by commutativlty, thus extending [1]. We study one class under the presence of an idempotent. For almost all the algebras of this class, simplicity implies associativity; we find, however, a generalization of right alternativity which contains significant algebras, including simple ones.
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