Open AccessOn Rings Containing a Non-essential nil-Injective Maximal Left Ideal
Author(s) -
Junchao Wei,
Yinchun Qu
Publication year - 2012
Publication title -
kyungpook mathematical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.287
H-Index - 19
eISSN - 1225-6951
pISSN - 0454-8124
DOI - 10.5666/kmj.2012.52.2.179
Subject(s) - mathematics , injective function , ideal (ethics) , maximal ideal , ring (chemistry) , injective module , pure mathematics , minimal ideal , discrete mathematics , chemistry , philosophy , epistemology , organic chemistry
We investigate in this paper rings containing a non-essential nil-injective maximal left ideal. We show that if R is a left MC2 ring containing a non-essential nil- injective maximal left ideal, then R is a left nil-injective ring. Using this result, some known results are extended.
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