Linear L-Algebras and Prime Factorization

Studia Logica 111 (1):57-82 (2023)
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Abstract

A complete recursive description of noetherian linear _KL_-algebras is given. _L_-algebras form a quantum structure that occurs in algebraic logic, combinatorial group theory, measure theory, geometry, and in connection with solutions to the Yang-Baxter equation. It is proved that the self-similar closure of a noetherian linear _KL_-algebra is determined by its partially ordered set of primes, and that its elements admit a unique factorization by a decreasing sequence of prime elements.

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L-algebras and three main non-classical logics.Wolfgang Rump - 2022 - Annals of Pure and Applied Logic 173 (7):103121.

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