Geodesic
Matrix representation of endomorphisms of primary groups of small ranks
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 74 (2021), pp. 30-42

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For endomorphism rings of finite primary Abelian groups of rank 2 and 3, generalized matrix rings isomorphic to them are constructed. In each of these matrix rings, necessary and sufficient conditions for the invertibility of matrices are found, as well as formulas for constructing the inverse matrix.
Keywords: primary group, endomorphism ring, generalized matrix ring
Mots-clés : inverse matrix. 
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     author = {A. Yu. Stepanova and E. A. Timoshenko},
     title = {Matrix representation of endomorphisms of primary groups of small ranks},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {30--42},
     publisher = {mathdoc},
     number = {74},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTGU_2021_74_a3/}
}
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A. Yu. Stepanova; E. A. Timoshenko. Matrix representation of endomorphisms of primary groups of small ranks. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 74 (2021), pp. 30-42. http://geodesic.mathdoc.fr/item/VTGU_2021_74_a3/