×

Direct decompositions into primary components. (English) Zbl 0364.06009


MSC:

06C05 Modular lattices, Desarguesian lattices
16Gxx Representation theory of associative rings and algebras
20K10 Torsion groups, primary groups and generalized primary groups
18E40 Torsion theories, radicals
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Alin, J. S., Primary Decompositions of Modules, Math. Zeitschr., 107, 319-525 (1968) · Zbl 0165.35302 · doi:10.1007/BF01110064
[2] Baer, Reinhold, Kollineationen primärer Prämoduln, 1-36 (1968), Paris: Dunod, Paris · Zbl 0195.31903
[3] Dickson, Spencer E., A Torsion Theory for Abelian Categories, Trans. Amer. Math. Soc., 109, 223-235 (1966) · Zbl 0138.01801 · doi:10.2307/1994341
[4] Spencer E. Dickson [2],Direct Decompositions of Radicals, Proc. Conf. Categorical Algebra, La Jolla, California, June 1965, pp. 366-374. · Zbl 0231.18015
[5] Dickson, Spencer E., Decomposition of Modules I: Classical Rings, Math. Zeitschr., 90, 9-13 (1963) · Zbl 0154.28404 · doi:10.1007/BF01112047
[6] Dickson, Spencer E., Decomposition of Modules II: Rings without Chain Conditions, Math. Zeitschr., 104, 349-357 (1968) · Zbl 0164.34703 · doi:10.1007/BF01110426
[7] Grätzer, George, Lattice Theory (1971), San Francisco: Freeman, San Francisco · Zbl 0232.06001
[8] Hutchinson, George, Modular Lattices and Abelian Categories, Journal of Algebra, 19, 156-184 (1971) · Zbl 0221.06003 · doi:10.1016/0021-8693(71)90103-7
[9] Jónsson, B., Modular Lattices and Desargues’ Theorem, Math. Scand., 2, 295-314 (1954) · Zbl 0056.38403
[10] J. Lambek,Torsion Theories, Additive Semantics and Rings of Quotients, Springer Lecture Notes in Mathematics No. 177. · Zbl 0213.31601
[11] Ore, O., On the Foundations of Abstract Algebra I, Ann. of Math., 36, 406-437 (1935) · JFM 61.0111.09 · doi:10.2307/1968580
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.