×

The module type of a ring. (English) Zbl 0112.02701


Full Text: DOI

References:

[1] C. J. Everett, Vector spaces over rings, Bull. Amer. Math. Soc. 48 (1942), 312 – 316. · Zbl 0061.01107
[2] William G. Leavitt, Modules over rings of words, Proc. Amer. Math. Soc. 7 (1956), 188 – 193. · Zbl 0073.02401
[3] W. G. Leavitt, Modules without invariant basis number, Proc. Amer. Math. Soc. 8 (1957), 322 – 328. · Zbl 0073.02402
[4] Nathan Jacobson, The Theory of Rings, American Mathematical Society Mathematical Surveys, vol. II, American Mathematical Society, New York, 1943. · Zbl 0060.07302
[5] Jean Dieudonné, Sur le nombre de dimensions d’un module, C. R. Acad. Sci. Paris 215 (1942), 563 – 565 (French). · Zbl 0028.20101
[6] W. G. Leavitt, Finite dimensional modules, An. Acad. Brasil. Ci. 27 (1955), 241 – 250. · Zbl 0066.02503
[7] Nathan Jacobson, Structure of rings, American Mathematical Society, Colloquium Publications, vol. 37, American Mathematical Society, 190 Hope Street, Prov., R. I., 1956. · Zbl 0073.02002
[8] M. P. Drazin, A generalization of polynomial identities in rings, Proc. Amer. Math. Soc. 8 (1957), 352 – 361. · Zbl 0083.02903
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.