Subalgebras, idempotents, ideals and quasi-units of two-dimensional algebras

All subalgebras, idempotents, left(right) ideals and left quasi-units of two-dimensional algebras are described. Classifications of algebras with given number of subalgebras, left(right) ideals are provided. In particular, a list of isomorphism classes of all simple two-dimensional algebras is given...

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Bibliographic Details
Published in:International Journal of Algebra and Computation
Main Author: Ahmed H.; Bekbaev U.; Rakhimov I.
Format: Article
Language:English
Published: World Scientific 2020
Online Access:https://www.scopus.com/inward/record.uri?eid=2-s2.0-85082437163&doi=10.1142%2fS0218196720500253&partnerID=40&md5=6264cd45069d719b49aa4078a8f5499f