|ISSN 1683-3414 (Print) • ISSN 1814-0807 (Online)|
Address: Vatutina st. 53, Vladikavkaz,
Category of MRR-Groups over a Ring RR
Vladikavkaz Mathematical Journal 2016. Vol. 18. Issue 2.
The category of exponential MRR-groups for an associative ring RR with unity is defined in . The present paper is devoted to the study of partial exponential MRR-groups which are isomorphically embedded in their tensor completion over the ring RR. The key to its understanding is the notion of tensor completion introduced in . As a consequence, the description of free MRR-groups in the language of group constructions is obtained.
Keywords: exponential RR-group, Lyndon RR-group, Hall RR-group, MRR-group, partial MRR-group, tensor completion.
Language: Russian Download the full text
For citation: Amaglobeli M. Category of MRR-Groups over a ring RR // Vladikavkazskii matematicheskii zhurnal [Vladikavkaz Math. J.], vol. 19, no. 2, pp. 12-18. DOI 10.23671/VNC.2016.2.5914
← Contents of issue
|© 1999-2023 ёжный математический институт|