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.
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页码：57 / 82
页数：25
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