2018
DOI: 10.1007/978-3-030-01120-8_7
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Partially Ordered Gamma Near-Rings

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(2 citation statements)
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“…Then, f (a 3 ) = f (a 2 +a 2 ) = f (2a 2 ). This gives f (0) = (f (a)) 3 . Therefore, (f (a)) 3 = 0 .…”
Section: Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…Then, f (a 3 ) = f (a 2 +a 2 ) = f (2a 2 ). This gives f (0) = (f (a)) 3 . Therefore, (f (a)) 3 = 0 .…”
Section: Resultsmentioning
confidence: 99%
“…In [5] and [6] also studied on the structure of SS elements of near-ring. The authors in [7] studied central SS-elements of a ring and [3] introduced the notion of partially ordered gamma near-rings and characterize their properties. The aim of this paper is to introduce a special class of rings R for which an element a in R, satisfying the additional property a n = a n−1 + a n−1 , where n > 1 is an integer, for an integer a in R, and explore its results and examples.…”
Section: Introductionmentioning
confidence: 99%