论文信息 - MC2 RINGS AND WQD RINGS*

MC2 RINGS AND WQD RINGS*

Abstract We introduce in this paper the concepts of rings characterized by minimal one-sided ideals and concern ourselves with rings containing an injective maximal left ideal. Some known results for idempotent reflexive rings and left HI rings can be extended to left MC2 rings. As applications, we are able to give some new characterizations of regular left self-injective rings with non-zero socle and extend some known results for strongly regular rings.

Junchao Wei | Libin Li

[1] Weixing Chen,et al. On Semiabelian π-Regular Rings , 2007, Int. J. Math. Math. Sci..

[2] Jin Yong Kim,et al. On Idempotent Reflexive Rings , 2006 .

[3] Jin Yong Kim. Certain rings whose simple singular modules are GP-injective , 2005 .

[4] T. Lam,et al. Quasi-duo rings and stable range descent , 2005 .

[5] Junchao Wei. The Rings Characterized by Minimal Left Ideals , 2005 .

[6] Xiaobin Yin,et al. Generalizations of V-rings , 2005 .

[7] W. K. Nicholson,et al. WEAKLY CONTINUOUS AND C2-RINGS , 2001 .

[8] N. Kim,et al. On simple singular gp - injective modules , 1999 .

[9] M. Yousif. On Continuous Rings , 1997 .

[10] W. K. Nicholson,et al. Principally Injective Rings , 1995 .

[11] Hua-Ping Yu. On quasi-duo rings , 1995, Glasgow Mathematical Journal.

[12] Zhang Jule,et al. Hereditary rings containing an injective maximal left ideal , 1993 .

[13] W. K. Nicholson,et al. Rings with projective socle , 1988 .

[14] R. Ming. On regular rings and self-injective rings , 1981 .

[15] Roger Yeu Chi Ming. On regular rings and self-injective rings , 1981 .

[16] P. Porcelli,et al. On rings of operators , 1967 .

[17] B. Osofsky. Rings all of whose finitely generated modules are injective. , 1964 .