Semidirect products in algebraic logic and solutions of the quantum Yang-Baxter equation

被引：66

作者：

Rump, Wolfgang ^{[1
]}

机构：

[1] Univ Stuttgart, Inst Algebra & Zahlentheorie, D-70550 Stuttgart, Germany

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2008年 / 7卷 / 04期

关键词：

L-algebra; semi-direct product; Hilbert algebra; cycle set; brace; Yang-Baxter equation;

D O I：

10.1142/S0219498808002904

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A semidirect product is introduced for cycloids, i. e. sets with a binary operation satisfying (x . y) . (x . z) = (y . x) . (y . z). Special classes of cycloids arise in the combinatorial theory of the quantum Yang-Baxter equation, and in algebraic logic. In the first instance, semidirect products can be used to construct new solutions of the quantum Yang - Baxter equation, while in algebraic logic, they lead to a characterization of L-algebras satisfying a general Glivenko type theorem.

引用

页码：471 / 490

页数：20