Remarks on varieties of involution bands
作者:
Igor Dolinka,
期刊:
Communications in Algebra
(Taylor Available online 2000)
卷期:
Volume 28,
issue 6
页码: 2837-2852
ISSN:0092-7872
年代: 2000
DOI:10.1080/00927870008826995
出版商: Gordon and Breach Science Publishers Ltd.
数据来源: Taylor
摘要:
In the present paper, we study varieties consisting of bands (idempotent semigroups) endowed with an involutorial antiautomorphism * as a fundamental operation. Our principal aim is here to provide an insight to some classes of these varieties from the structural point of view, especially in terms of semilattice decompositions, subdirect products and ideal extensions. In the course of such considerations, we shall extend the result of C. L. Adair [1], who described the lattice of all varieties of bands with a regular involution (i.e. with the identityx=xx*x) We depict a broader lattice of involution band varieties, which incorporates Adair’s lattice.
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