Some Properties of Strongly Nil Clean Elements
- Author Santi Irawati
- Co-Author Dwi Devi Rohmah Diana, Rasdadik, Tjang Daniel Chandra
- DOI 10.17605/O
- Country : Indonesia
- Subject : Mathematics
Keywords : Strongly clean, strongly nil clean, idempotent, nilpotent.
Abstract
The ring concept has many developments, especially whose element is the sum of some specific elements in that ring, such as clean ring and nil clean ring, they are developed into strongly clean ring and strongly nil clean ring by adding commutative property to multiplication operation on those specific elements in the rings. This research is developed from those concepts by investigating some properties of strongly nil clean elements and its connection with strongly clean elements, strongly nil clean ideals, and strongly nil cleanness of elements in direct product rings.
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