Abstract
The concept of a pseudo-injective module is introduced; its properties are examined as are those of the class of torsion-free modules in the sense of H. Bass over self-pseudo-injective rings.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Literature cited
R. Bear, Linear Algebra and Projective Geometry [in Russian], Moscow (1955).
A. Cartan and S. Eilenberg, Homological Algebra [in Russian], Moscow (1969).
A. P. Mishina and L. A. Skornyakov, Abelian Groups and Modules [in Russian], Moscow (1969).
G. M. Tsukerman, “Rings of endomorphisms of free modules,” Sibirsk. Matem. Zh.,7, No. 5, 1161–1167 (1966).
R. Arens and I. Kaplansky, “Topological representation of algebras,” Trans. Amer. Math. Soc.,63, 457–481 (1948).
H. Bass, “Finite homological dimension and homological generalisation of semiprimary rings,” Trans. Amer. Math. Soc.,95, 466–488 (1960).
T. Kato, “Torsionless modules,” Tohoky Math. Journal,2, 234–243 (1968).
L. Lasieur and R. Croisot, “La notion de coeur dans un module,” Comptes Rendus. Acad. Sci.,252, No. 1, 52–54 (1961).
G. W. Wolfson, “Bear ring of endomorphisms,” Math. Ann.,143, 19–28 (1961).
Author information
Authors and Affiliations
Additional information
Translated from Matematieheskie Zametki, Vol. 7, No. 3, pp. 369–380, March, 1970.
Rights and permissions
About this article
Cite this article
Tsukerman, G.M. Pseudo-injective modules and self-pseudo-injective rings. Mathematical Notes of the Academy of Sciences of the USSR 7, 220–226 (1970). https://doi.org/10.1007/BF01093119
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01093119