Studies of exponential MR-groups

Author: Mikheil Amaglobeli
Keywords: Lyndon R-groups, Hall R-groups, MR-groups, partial MR-groups, tensor completions
Annotation:

Myasnikov and Remeslennikov introduced the category of exponential MR-groups over any associative ring R with identity. This paper studies the partial exponential MR–groups Which can be embedded into the tensor completions over R. As a corollary, a description of the free MR-groups in the language of group constructions is obtained.