On clean rings and related generalizations
| Vol-4 | Issue-02 | February 2019 | Published Online: 20 February 2019 PDF ( 479 KB ) | ||
| Author(s) | ||
Garg Shelly
1;
Grover Harpreet K.
2
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1Assistant Professor, Department of Mathematics, DAV University, Jalandhar (India) 2Assistant Professor, Department of Mathematics, Guru Nanak Dev University, Amritsar (India) |
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| Abstract | ||
A ring R is called clean if every element of R can be represented as a sum of an idempotent and a unit in R. These rings have been of immense interest in recent years. In this article, we give a brief survey of clean rings and its various generalizations. |
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| Keywords | ||
| Clean rings, exchange rings, regular rings, unit-regular rings, strongly clean rings, uniquely clean rings | ||
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