Zobrazeno 1 - 10
of 26
pro vyhledávání: '"Kalyan Kumar Dey"'
Publikováno v:
Journal of the Egyptian Mathematical Society, Vol 24, Iss 1, Pp 8-14 (2016)
Let M be a 2-torsion free Γ-ring with involution I satisfying the condition xαyβz=xβyαz for all x,y,z∈M and α,β∈Γ. The object of our paper is to show that every Jordan left-I-centralizer on a semiprime Γ-ring with involution I, is a reve
Externí odkaz:
https://doaj.org/article/6ec930e34290407d941160f85b0497b6
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2012 (2012)
Let M be a 2-torsion-free semiprime Γ-ring satisfying the condition aαbβc=aβbαc for all a,b,c∈M, α,β∈Γ, and let D:M→M be an additive mapping such that D(xαx)=D(x)αx+xαd(x) for all x∈M, α∈Γ and for some derivation d of M. We pro
Externí odkaz:
https://doaj.org/article/8914d76f44694741ac1314c60078dee9
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2012 (2012)
Let 𝑁 be a 2-torsion free prime Γ-near-ring with center 𝑍(𝑁). Let (𝑓,𝑑) and (𝑔,ℎ) be two generalized derivations on 𝑁. We prove the following results: (i) if 𝑓([𝑥,𝑦]𝛼)=0 or 𝑓([𝑥,𝑦]𝛼)=±[𝑥,𝑦]𝛼 o
Externí odkaz:
https://doaj.org/article/32e320072db847c0922a47967e37a14c
Publikováno v:
GANIT: Journal of Bangladesh Mathematical Society. 39:63-70
In this paper, we study the orthogonality of two generalized derivations in semiprime G-rings. Some results are obtained in connection with ideals of semiprime G-rings and using left annihilator which is taken to be zero. GANIT J. Bangladesh Math. So
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::95cedb0f9eb5e57d23a86de8f647c6aa
https://doi.org/10.3329/ganit.v39i0.44162
https://doi.org/10.3329/ganit.v39i0.44162
Autor:
Kalyan Kumar Dey, Akhil Chandra Paul
Publikováno v:
GANIT: Journal of Bangladesh Mathematical Society. 34:27-33
Let M be a Г-ring and let D : M x M -> M be a symmetric bi-derivation with the trace d : M -> M denoted by d ( x ) = D ( x , x ) for all x e M . The objective of this paper is to prove some results concerning symmetric bi-derivation on prime and sem
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2377c2faf798d0c45fed738366ba385a
https://doi.org/10.3329/ganit.v34i0.28551
https://doi.org/10.3329/ganit.v34i0.28551
Autor:
Subrata Majumdar, Kalyan Kumar Dey
Publikováno v:
GANIT: Journal of Bangladesh Mathematical Society. 35:1-5
Majumdar and Paul [3] introduced and studied a new radical E defined as the upper radical determined by the class of all rings each of whose ideals is idempotent. In this paper the authors continue the study further and also study the join radical an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c38609ed2888b7cab9558a90570c0b03
https://doi.org/10.3329/ganit.v35i0.28560
https://doi.org/10.3329/ganit.v35i0.28560
Publikováno v:
Journal of the Egyptian Mathematical Society, Vol 24, Iss 1, Pp 8-14 (2016)
Let M be a 2-torsion free Γ-ring with involution I satisfying the condition xαyβz=xβyαz for all x,y,z∈M and α,β∈Γ. The object of our paper is to show that every Jordan left-I-centralizer on a semiprime Γ-ring with involution I, is a reve
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e66d0137ad9cc28774081782ed4a6ef3
Publikováno v:
Kyungpook mathematical journal. 55:827-835
Let U be a σ-square closed Lie ideal of a 2-torsion free σ-prime Γ-ring M. Let d≠1 be an automorphism of M such that [u, d(u)]α ∈ Z(M) on U, dσ=σd on U, and there exists u0 in Saσ(M) with MΓu0 ⊆ U. Then, U ⊆ Z(M). By applying this res
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5db2694da4f60370aa5e33bcf3878990
https://doi.org/10.5666/kmj.2015.55.4.827
https://doi.org/10.5666/kmj.2015.55.4.827
Publikováno v:
Communications in Computer and Information Science ISBN: 9789811046414
ICMC
ICMC
The objective of this paper is to introduce the notion of a permuting skew tri-derivation on prime and semiprime \(\varGamma \)-rings. We prove that under certain conditions a prime \(\varGamma \)-ring is to be commutative by means of a nonzero permu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cfc95062f87b69204ba6c8e6bc7b09ec
https://doi.org/10.1007/978-981-10-4642-1_34
https://doi.org/10.1007/978-981-10-4642-1_34
Publikováno v:
Communications in Computer and Information Science ISBN: 9789811046414
ICMC
ICMC
Let M be a 2-torsion free prime \({\varGamma }\)-ring with Z(M) as the center of M. In this paper, we prove the following: (i) If U is a Lie ideal of M and if \(d\not =0\) is a derivation of M such that \(d^2(U) = 0\), then \(U\subseteq Z(M)\); (ii)
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9e3a629dbabc9b2f0794cd45f5885848
https://doi.org/10.1007/978-981-10-4642-1_32
https://doi.org/10.1007/978-981-10-4642-1_32