Geodesic
Category of $\mathrm{MR}$-groups over a~ring~$\mathrm R$
Vladikavkazskij matematičeskij žurnal, Tome 18 (2016) no. 2, pp. 12-18

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The category of exponential $\mathrm{MR}$-groups for an associative ring $\mathrm R$ with unity is defined in [1]. The present paper is devoted to the study of partial exponential $\mathrm{MR}$-groups which are isomorphically embedded in their tensor completion over the ring $\mathrm R$. The key to its understanding is the notion of tensor completion introduced in [1]. As a consequence, the description of free $\mathrm{MR}$-groups in the language of group constructions is obtained. 
@article{VMJ_2016_18_2_a1,
     author = {M. G. Amaglobeli},
     title = {Category of $\mathrm{MR}$-groups over a~ring~$\mathrm R$},
     journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
     pages = {12--18},
     publisher = {mathdoc},
     volume = {18},
     number = {2},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMJ_2016_18_2_a1/}
}
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M. G. Amaglobeli. Category of $\mathrm{MR}$-groups over a~ring~$\mathrm R$. Vladikavkazskij matematičeskij žurnal, Tome 18 (2016) no. 2, pp. 12-18. http://geodesic.mathdoc.fr/item/VMJ_2016_18_2_a1/