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Submitted
Jul 30, 2020
Published
Mar 30, 2013
MININJECTIVE AND MINANNIHILATOR RINGS
UED Journal of Social Sciences, Humanities and Education,
Vol. 3 No. 1 (2013): UED JOURNAL OF SOCIAL SCIENCES, HUMANITIES AND EDUCATION
Abstract
In this paper, some properties of mininjective rings and semiperfect rings are identified. Some characteristics of quasi Frobenius via mininjectivity are studied. In this case, a ring is a quasi Frobenius ring if and only if the ring is the two sided Artinian and two sided mininjective. Based on this result, we show that a ring is a quasi Frobenius ring if and only if the ring is the two sided minannihilator, satisfying the condition ACC on annihilators and essential left socle.
Keywords
quasi Frobenius rings; mininjective ring; minannihilator rings; semiperfect rings
Phan Chi Dung. (2013). MININJECTIVE AND MINANNIHILATOR RINGS. UED Journal of Social Sciences, Humanities and Education, 3(1), 7-11. https://doi.org/10.47393/jshe.v3i1.429
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References
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