×

Regular modules. (English) Zbl 0227.16022


MSC:

16D80 Other classes of modules and ideals in associative algebras
16E50 von Neumann regular rings and generalizations (associative algebraic aspects)
16S50 Endomorphism rings; matrix rings
16N60 Prime and semiprime associative rings
16D50 Injective modules, self-injective associative rings
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Henri Cartan and Samuel Eilenberg, Homological algebra, Princeton University Press, Princeton, N. J., 1956. · Zbl 0075.24305
[2] Stephen U. Chase, Direct products of modules, Trans. Amer. Math. Soc. 97 (1960), 457 – 473. · Zbl 0100.26602
[3] P. M. Cohn, On the free product of associative rings, Math. Z. 71 (1959), 380 – 398. · Zbl 0087.26303 · doi:10.1007/BF01181410
[4] G. M. Cukerman, Rings of endomorphisms of free modules, Sibirsk. Mat. Ž. 7 (1966), 1161 – 1167 (Russian).
[5] D. J. Fieldhouse, Pure theories, Math. Ann. 184 (1969), 1 – 18. · Zbl 0174.06902 · doi:10.1007/BF01350610
[6] Nenosuke Funayama, Imbedding a regular ring with identity, Nagoya Math. J. 27 (1966), 61 – 64. · Zbl 0143.05402
[7] Irving Kaplansky, Fields and rings, The University of Chicago Press, Chicago, Ill.-London, 1969. · Zbl 0184.24201
[8] Irving Kaplansky, Projective modules, Ann. of Math (2) 68 (1958), 372 – 377. · Zbl 0083.25802 · doi:10.2307/1970252
[9] Joachim Lambek, Lectures on rings and modules, With an appendix by Ian G. Connell, Blaisdell Publishing Co. Ginn and Co., Waltham, Mass.-Toronto, Ont.-London, 1966. · Zbl 0365.16001
[10] Roger Ware, Endomorphism rings of projective modules, Trans. Amer. Math. Soc. 155 (1971), 233 – 256. · Zbl 0215.09101
[11] Roger Wiegand, Endomorphism rings of ideals in a commutative regular ring, Proc. Amer. Math. Soc. 23 (1969), 442 – 449. · Zbl 0194.34704
[12] J. Zelmanowitz, Commutative endomorphism rings, Canad. J. Math. 23 (1971), 69 – 76. · Zbl 0207.04802 · doi:10.4153/CJM-1971-007-x
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.