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@article{ADM_2017_23_1_a2, author = {V. Bondarenko and M. Stoika}, title = {On representations of the group of order two over local factorial rings in the weakly modular case}, journal = {Algebra and discrete mathematics}, pages = {7--15}, publisher = {mathdoc}, volume = {23}, number = {1}, year = {2017}, language = {en}, url = {http://geodesic.mathdoc.fr/item/ADM_2017_23_1_a2/} }
TY - JOUR AU - V. Bondarenko AU - M. Stoika TI - On representations of the group of order two over local factorial rings in the weakly modular case JO - Algebra and discrete mathematics PY - 2017 SP - 7 EP - 15 VL - 23 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ADM_2017_23_1_a2/ LA - en ID - ADM_2017_23_1_a2 ER -
%0 Journal Article %A V. Bondarenko %A M. Stoika %T On representations of the group of order two over local factorial rings in the weakly modular case %J Algebra and discrete mathematics %D 2017 %P 7-15 %V 23 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/ADM_2017_23_1_a2/ %G en %F ADM_2017_23_1_a2
V. Bondarenko; M. Stoika. On representations of the group of order two over local factorial rings in the weakly modular case. Algebra and discrete mathematics, Tome 23 (2017) no. 1, pp. 7-15. http://geodesic.mathdoc.fr/item/ADM_2017_23_1_a2/
[1] V. M. Bondarenko, Ju. A. Drozd, “The representation type of finite groups”, Modules and representations, Zap. Nauch. Sem. Leningrad. Otdel. Mat. Inst. Steklov, 71, 1977, 24–41 (Russian) | MR | Zbl
[2] V. M. Bondarenko, “The similarity of matrices over rings of residue classes”, Mathematics collection, Naukova Dumka, Kiev, 1976, 275–277 (Russian) | MR
[3] V. M. Bondarenko, Private Communication, 2016
[4] P. M. Gudivok, “Modular and integral representations of finite groups”, Dokl. Akad. Nauk SSSR, 214:5 (1974), 993–996 (Russian) | MR | Zbl
[5] P. M. Gudivok, “Representations of finite groups over a complete discrete valuation ring”, Algebra, number theory and their applications, Trudy Mat. Inst. Steklov, 148, 1978, 96–105 (Russian) | MR | Zbl
[6] V. M. Bondarenko, P. M. Gudivok, “Representations of finite $p$-groups over a ring of formal power series with integer $p$-adic coefficients”, Infinite groups and related algebraic structures, Akad. Nauk Ukrainy, Inst. Mat., Kiev, 1993, 5–14 (Russian) | MR
[7] P. M. Gudivok, S. P. Kindyukh, “On matrix representations of finite $2$-groups over local integral domains of characteristic zero”, Nauk. Visn. Uzhgorod. Univ., Ser. Mat. Inform., 12–13 (2006), 59–64 (Ukrainian) | MR | Zbl
[8] P. M. Gudivok, S. P. Kindyukh, “On wild finite $2$-groups over local integral domains of characteristic zero”, Nauk. Visn. Uzhgorod. Univ., Ser. Mat. Inform., 18 (2009), 54–61 (Ukrainian) | Zbl
[9] Ju. A. Drozd, “Tame and wild matrix problems”, Representations and quadratic forms, Akad. Nauk Ukrain. SSR, Inst. Mat., Kiev, 1979, 39–74 (Russian) | MR
[10] P. Donovan, M. R. Freislich, The representation theory of finite graphs and associated algebras, Carleton Math. Lect. Notes, 5, Carleton Univ., Ottawa, Ont., 1973, 83 pp. | MR | Zbl
[11] L. A. Nazarova, “Representations of quivers of infinite type”, Izv. Akad. Nauk SSSR, Ser. Mat., 37:4 (1973), 752–791 (Russian) | MR | Zbl
[12] A. S. Shkabara, Commutative quivers of tame type I, Akad. Nauk Ukrain. SSR, Inst. Mat., 1978, 56 pp., Preprint no. 42 (Russian) | MR
[13] A. G. Zavadskij, Quivers without cycles and with an isolated path of tame type, Akad. Nauk Ukrain. SSR, Inst. Mat., 1978, Preprint no. 43 (Russian) | MR
[14] L. A. Nazarova, “Partially ordered sets of infinite type”, Izv. Akad. Nauk SSSR, Ser. Mat., 39:5 (1975), 963–991 (Russian) | MR
[15] L. A. Nazarova, V. M. Bondarenko, A. V. Roiter, Representations of partially ordered sets with involution, Akad. Nauk Ukrain. SSR, Inst. Mat., 1986, Preprint no. 80 | MR
[16] L. A. Nazarova, V. M. Bondarenko, A. V. Roiter, “Tame partially ordered sets with involution”, Galois theory, rings, algebraic groups and their applications, Trudy Mat. Inst. Steklov, 183, 1990, 149–159 (Russian) | MR
[17] V. M. Bondarenko, A. G. Zavadskij, “Posets with an equivalence relation of tame type and of finite growth”, Representations of finite-dimensional algebras (Tsukuba, 1990), CMS Conf. Proc., 11, Amer. Math. Soc., Providence, RI, 1991, 67–88 | MR
[18] S. Kasjan, D. Simson, “Varieties of poset representations and minimal posets of wild prinjective type”, Representations of algebras (Ottawa, ON, 1992), CMS Conf. Proc., 14, Amer. Math. Soc., Providence, RI, 1993, 245–284 | MR | Zbl
[19] V. M. Bondarenko, “Linear operators on $S$-graded vector spaces”, Linear Algebra Appl., 365, Special issue on linear algebra methods in representation theory (2003), 45–90 | DOI | MR | Zbl
[20] D. M. Arnold, D. Simson, “Endo-wild representation type and generic representations of finite posets”, Pacific J. Math., 219:1 (2005), 1–26 | DOI | MR | Zbl
[21] V. M. Bondarenko, V. Futorny, T. Klimchuk, V. V. Sergeichuk, K. Yusenko, “Systems of subspaces of a unitary space”, Linear Algebra Appl., 438:5 (2013), 2561–2573 | DOI | MR | Zbl