Algebra and Logic Seminar
Institute of Mathematics and Informatics, BAS Akad.G.Bonchev St, bl. 8, 1113, SofiaThe next meeting of the Algebra and Logic Seminar will be held on March 128, 2025 (Friday) at 1:00 pm (UTC+2) in Room 578 of IMI-BAS and online via Zoom. A talk on: Graded algebras that are the sum of two homogeneous subalgebras will be delivered by Plamen Koshlukov (State University of Campinas, Brazil). Abstract. Let A be an algebra over a field F, graded by a group G, and let B and C be two homogeneous subalgebras of A such that A=B+C. We study the following problem: If B and C satisfy graded identities, does the same also hold for A? The analogous problem for algebras without any grading was proposed in 1994 by Beidar and Mikhalev; in implicit form it appeared in a paper by O. Kegel, in 1963. Several [...]