Linear L-Algebras and Prime Factorization

被引：0

作者：

Wolfgang Rump

机构：

[1] University of Stuttgart,Institute for Algebra and Number Theory

来源：

Studia Logica | 2023年 / 111卷

关键词：

-algebra; Self-similarity; Non-commutative prime factorization; Primary: 20M10; 06F05; 11N80; 08A55; 05A15; 05A18;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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.

引用

页码：57 / 82

页数：25

共 41 条

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