Tachikawa, Hiroyuki QF-3 rings and categories of projective modules. (English) Zbl 0281.16009 J. Algebra 28, 408-413 (1974). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 11 Documents MSC: 16L60 Quasi-Frobenius rings 16E10 Homological dimension in associative algebras 18E15 Grothendieck categories (MSC2010) 16D40 Free, projective, and flat modules and ideals in associative algebras PDFBibTeX XMLCite \textit{H. Tachikawa}, J. Algebra 28, 408--413 (1974; Zbl 0281.16009) Full Text: DOI References: [1] Anderson, F. W.; Fuller, K. R., Modules with decompositions that complement direct summands, J. Algebra, 22, 241-253 (1972) · Zbl 0242.16025 [2] M. Auslander; M. Auslander [3] Bass, H., Finitistic dimension and a homological generalization of semiprimary rings, Trans. Amer. Math. Soc., 95, 466-488 (1960) · Zbl 0094.02201 [4] Chase, S. U., Direct products of modules, Trans. Amer. Math. Soc., 97, 457-473 (1960) · Zbl 0100.26602 [5] Colby, R. R.; Rutter, E. A., Generalizations of QF-3 algebras, Trans. Amer. Math. Soc., 153, 371-386 (1971) · Zbl 0211.36105 [6] Lambek, J., Torsion theories, additive semantics, and rings of quotients, (Lecture Notes in Mathematics, 177 (1971), Springer) · Zbl 0213.31601 [7] Morita, K., Localizations in categories of modules. I, Math. Z., 114, 121-144 (1970) · Zbl 0177.06001 [8] Morita, K., Localizations in categories of modules. III, Math. Z., 119, 313-320 (1971) · Zbl 0201.04301 [9] Morita, K., Flat modules, injective modules and quotient rings, Math. Z., 120, 25-40 (1971) · Zbl 0203.34203 [10] Popesco, N.; Gabriel, P., Caractérisation des catégories abéliennes avec generateurs et limites inductives exactes, C. R. Acad. Sc. Paris, 258, 4188-4190 (1964) · Zbl 0126.03304 [11] C. M. Ringel and H. TachikawaQFJ. Reine Angew. Math.; C. M. Ringel and H. TachikawaQFJ. Reine Angew. Math. · Zbl 0318.16006 [12] Suzuki, Y., Dominant dimension of double centralizers, Math. Z., 122, 53-56 (1971) · Zbl 0226.16033 [13] Tachikawa, H., On splitting of module categories, Math. Z., 111, 145-150 (1969) · Zbl 0182.05901 [14] Thrall, R. M., Some generalizations of quasi-Frobenius algebras, Trans. Amer. Math. Soc., 64, 173-183 (1948) · Zbl 0041.01001 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.