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L-R-crossed products

2024/10/11 by Florin Panaite, Panaite, Florin
Computer Science · Decision Sciences · #Advanced Algebra and Logic #FOS: Mathematics #Fuzzy and Soft Set Theory #Quantum Algebra (math.QA) #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.2410.08429

openalex publication_date 2024/10/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Given an associative algebra H, a linear space U and some linear maps J, T, γ, ηsatisfying some axioms, we define an associative algebra structure on U⊗ H, called an L-R-crossed product. This contains as particular cases some previous constructions, such as the (iterated) Brzezinski crossed product and the L-R-smash product over quasi-bialgebras.

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