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@article{BASM_2011_1_a0, author = {Vladimir Kirichenko and Makar Plakhotnyk}, title = {Serial rings and their generalizations}, journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica}, pages = {3--27}, publisher = {mathdoc}, number = {1}, year = {2011}, language = {en}, url = {http://geodesic.mathdoc.fr/item/BASM_2011_1_a0/} }
TY - JOUR AU - Vladimir Kirichenko AU - Makar Plakhotnyk TI - Serial rings and their generalizations JO - Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica PY - 2011 SP - 3 EP - 27 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/BASM_2011_1_a0/ LA - en ID - BASM_2011_1_a0 ER -
Vladimir Kirichenko; Makar Plakhotnyk. Serial rings and their generalizations. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2011), pp. 3-27. http://geodesic.mathdoc.fr/item/BASM_2011_1_a0/
[1] Asano K., “Über verallgemeinerte Abelsche Gruppen mit hyperkomplexen Operatorenring und ihre Anwendungen”, Japan J. Math., 15 (1939), 231–253 | MR | Zbl
[2] Asano K., “Über Hauptidealringe mit Kettensatz”, Osaka Math. J., 1 (1949), 52–61 | MR | Zbl
[3] Camillo V. P., “Distributive modules”, J. Algebra, 36:1 (1975), 16–25 | DOI | MR | Zbl
[4] Eisenbud D., Griffith P., “The structure of serial rings”, Pacific J. Math., 36:1 (1971), 109–121 | DOI | MR | Zbl
[5] Eisenbud D., Griffith P., “On indecomposable injectives over artinian rings”, Pacific J. Math., 29 (1969), 115–135 | DOI | MR
[6] Hazewinkel M., Gubareni N., Kirichenko V. V., Algebras, Rings and Modules, v. I, Mathematics and Its Applications, 575, Kluwer Academic Publishers, 2004, 380 pp. | MR | Zbl
[7] Jacobson N., The theory of rings, v. 2, Surveys, Amer. Math. Soc., New Jork, 1943 | MR | Zbl
[8] Jategaonkar V. A., “Global dimension of tiled orders over a discrete valuation ring”, Trans. Amer. Math. Soc., 196 (1974), 313–330 | DOI | MR | Zbl
[9] Këothe G., “Verallgemeinerte Abelsche Gruppen mit Hyperkomplexen Operatorenring”, Math. Z., 39 (1935), 31–44 | DOI | MR
[10] Kirichenko V. V., “Generalized uniserial rings”, Mat. sb., 99(141):4 (1976), 559–581 | MR | Zbl
[11] Kirichenko V. V., Yaremenko Yu. V., “Noetherian biserial rings”, Ukr. Math. Journal, 40:4 (1988), 435–440 | MR | Zbl
[12] Kirichenko V. V., Generalized uniserial rings, Preprint IM-75-1, Kiev, 1975
[13] Kirichenko V. V., “Semi-perfect semi-distributive rings”, Algebras and Representation theory, 3 (2000), 81–98 | DOI | MR | Zbl
[14] Kirichenko V. V., Khibina M. A., “Semi-perfect semi-distributive rings”, Infinite Groups and Related Algebraic Topics, Institute of Mathematics NAS Ukraine, 1993, 457–480 (in Russian) | MR | Zbl
[15] Muller B. J., “On semi-peerfect rings”, Illionns J. Math., 14:3 (1970), 464–467 | MR
[16] Nakayama T., “On Frobeniusean algebras I”, Ann. of Math., 40 (1939), 611–633 ; “II”, 42 (1941), 1–21 | DOI | MR | Zbl | DOI | MR | Zbl
[17] Nakayama T., “Note on uniserial and generalized uniserial rings”, Proc. Imp. Acad. Tokyo, 16 (1940), 285–289 | DOI | MR | Zbl
[18] Skornyakov L. A., “When are all modules semi-chained?”, Mat. Zametki, 5:2 (1969), 173–182 | MR | Zbl
[19] Zavadskiy A. G., Kirichenko V. V., “Semimaximal rings af finite type”, Mat. Sbornik, 103(145):3(7) (1977), 323–345 | MR | Zbl