This is a preview of subscription content, log in via an institution to check access.
Literature Cited
S. Chase and C. Faith, “Quotient rings and direct products of full linear rings,” Math. Zeitschr.,88, No. 3, 250–264 (1965).
Y. Utumi, “On quotient rings,” Osaka Math. J.,8, 1–16 (1956).
Y. Utumi, “On continuous regular rings and semisimple self-injective rings,” Canadian J. Math.,12, No. 4, 597–605 (1960).
N. Jacobson, Structure of Rings, Amer. Math. Soc. Colloquium Public., 37, Providence, R.I. (1956).
H. Cartan and S. Eilenberg, Homological Algebra, Princeton Univ. Press (1956).
A. Hattori, “A foundation of torsion theory for modules over general rings,” Nagoya Math. J.,17, 147–158 (1960).
T. Kandô, “Strong regularity in arbitrary rings,” Nagoya Math. J.,4, 51–53 (1952).
G. M. Tsukerman, “Endomorphism rings of free modules,” Sibirsk. Matem. Zh.,7, No. 5, 1161–1167 (1966).
M. Zelmanowitz, “Endomorphism rings of torsionless modules,” J. Algebra,5, No. 3, 325–341 (1967).
E. R. Gentile, “Singular submodule and injective hull,” Indagationes Math.,24, No. 4, 426–433 (1962).
L. A. Skornyakov, Complemented Modular Lattices and Regular Rings [in Russian], Fizmatgiz (1961).
A. G. Kurosh, Lectures on General Algebra [in Russian], Fizmatgiz (1962).
Y. Suzuki, “On automorphisms of an injective module” Proc. Japan. Acad.,44, No. 3, 120–124 (1968).
Additional information
Translated from Sibirskii Matematicheskii Zhurnal, Vol. 12, No. 2, pp. 315–331, March–April, 1971.
Rights and permissions
About this article
Cite this article
Gemintern, V.I. Semisimple self-injective endomorphism rings. Sib Math J 12, 224–234 (1971). https://doi.org/10.1007/BF00969043
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00969043