An online session of the Algebra and Logic Seminar will be held on May 14, 2021 (Friday) at 1:00 p.m. (+3 UTC)
A talk on
Non-finitely based and limit varieties of algebraic systems
will be delivered by Vesselin Drensky.
Abstract. A variety of algebraic systems is non-finitely (or infinitely) based if it does not have a finite basis of identities. It is just-non-finitely based (or limit) if it is non-finitely based but all its proper subvarieties are finitely based. By the Zorn lemma every variety without a finite basis of identities contains a just-non-finitely based subvariety.
We survey results on non-finitely based varieties of groups, semigroups and on associative, Lie and nonassociative rings and algebras. We also present examples of just-non-finitely based varieties of nonassociative algebras and varieties of pairs over fields of characteristic 0.
The seminar will be held via Zoom and everyone can join at:
https://us02web.zoom.us/j/85137375021?pwd=RE5QczdFTE1xL1R6MnI2b1lkcGczQT09
Topic: Онлайн семинар на секция “Алгебра и логика”
Time: May 14, 2021 01:00 PM Sofia
Meeting ID: 851 3737 5021
Passcode: 035647
Algebra and Logic Department, IMI-BAS
http://www.math.bas.bg/algebra/seminarAiL/
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