About the category of qualitative R-groups

The seminar is devoted to the study of qualitative groups with respect to rings. This concept was introduced by Rs. by Lyndon (1960) and has been studied by many authors. The report discusses qualitative groups with a more convenient axiomatic, which specifies R. Lyndon's definition and proposed by A. Myasnikov and V. by Remeslenikov. There are discussed the issues of the theory of qualitative groups that concern their general properties and their tensor implementations (concepts related to the expansions of scalar rings for qualitative groups).

Lecture files: