T-Radicals and E-Radicals in the Category of Modules
Tóm tắt
We introduce two classes of radicals by means of tensor product of modules and module homomorphisms and prove some properties of these radicals and their connection with attracting modules.
Tài liệu tham khảo
Pierce R. S., “E-modules,” Contemp. Math., 87, 221-240 (1989).
Bowshell R. A. and Schultz P., “Unital rings whose additive endomorphisms commute,” Math. Ann., 228, 197-214 (1977).
Krylov P. A. and Prikhodovskii M. A., “Generalized T-modules and E-modules,” in: Universal Algebra and Some of Their Applications [in Russian], Peremena, Volgograd, 1999, pp. 153-169.
Mishina A. P. and Skornyakov L. A., Abelian Groups and Modules [in Russian], Nauka, Moscow (1969).
Kashu A. I., Radicals and Module Torsions, Shtiintsa, Kishinev (1983).
Kasch F., Modules and Rings [Russian translation], Mir, Moscow (1981).