One-sided orthogonality, orthomodular spaces, quantum sets, and a class of Garside groups

JOURNAL OF ALGEBRA

卷:526

Article

Dietzel, Carsten¹  Rump, Wolfgang¹  Zhang, Xia² 

[1] Univ Stuttgart, Inst Algebra & Number Theory, Pfaffenwaldring 57, D-70550 Stuttgart, Germany

[2] South China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China

关键词: Orthogonality;    Orthomodular space;    L-algebra;    Garside group;    Right l-group;    Group-valued measure;    Structure group;   

DOI  :  10.1016/j.jalgebra.2019.02.012

来源: Elsevier

【 摘 要 】

The classification of orthomodular lattices by means of their structure group is extended to non-symmetric orthogonality relations. Spaces with a non-hermitian sesquilinear form, quantum sets, and a new class of Garside groups are given as examples. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free