Characterizations of 
                
                  
                
                $$k$$
                
                  
                    k
                  
                
              -potent elements in rings

Mosić, Dijana

doi:10.1007/s10231-014-0415-5

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Characterization Of K-potent Elements In Algebras Obtained B...1

Introduction1

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2021

2024

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Article4

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Cited by 4 publications

(2 citation statements)

References 15 publications

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“…In the paper [8], the author gave several characterizations of k-potent elements in associative rings from an algebraic point of view. In [9], the authors presented some properties of (m, k)-type elements over the ring of integers modulo n and in [10], the author emphasize the applications of k-potent matrices to digital image encryption.…”

Section: Characterization Of K-potent Elements In Algebras Obtained B...mentioning

confidence: 99%

Some Remarks Regarding Special Elements in Algebras Obtained by the Cayley–Dickson Process over Zp

Flaut,

Baias

2024

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Section: Characterization Of K-potent Elements In Algebras Obtained B...mentioning

confidence: 99%

Some Remarks Regarding Special Elements in Algebras Obtained by the Cayley–Dickson Process over Zp

Flaut,

Baias

2024

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“…In [4] Wei and Libin generalized normal rings and defined quasi normal ring on the basis of normal ring. Here we define quasi-k-normal ring in terms of k-potent elements as defined in [2]. Here we study several properties of quasi-k-normal rings.…”

Section: Introductionmentioning

confidence: 99%

Quasi-k-normal ring

Deka,

Saikia

2023

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In [4] Wei and Libin defined Quasi normal ring. In this paper we attempt to define Quasi-k-normal ring by using the action of k-potent element. A ring is called Quasi-k-normal ring if ae = 0 ⇒ eaRe = 0 for a ∈ N(R)and e ∈ K(R), where K(R) = {e ∈ R|ek = e}. Several analogous results give in [4] is defined here. we find here that a ring is quasi-k-normal if and only if eR(1 − ek−1)Re = 0 for each e ∈ K(R). Also we get a ring is quasi-k-normal ring if and only if Tn(R, R) is quasi-k-normal ring.

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