Results 41 to 50 of about 320 (83)
Identities with derivations on rings and Banach algebras [PDF]
, 2005 In this paper we prove the following result. Let m 1, n 1 be integers and let R be a 2mn(m+n-1)!-torsion free semiprime ring. Suppose there exist derivations D, G : R R such that D(xm)xn + xnG(xm) = 0 holds for all x R.
Joso Vukman
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International Journal of Mathematics and Mathematical Sciences, Volume 20, Issue 2, Page 263-266, 1997., 1995 Let R be a ring A bi‐additive symmetric mapping d : R × R → R is called a symmetric bi‐derivation if, for any fixed y ∈ R, the mapping x → D(x, y) is a derivation. The purpose of this paper is to prove the following conjecture of Vukman. Let R be a noncommutative prime ring with suitable characteristic restrictions, and let D : R × R → R and f : x → D ...
Qing Deng
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A note on semiprime rings with derivation
International Journal of Mathematics and Mathematical Sciences, Volume 20, Issue 2, Page 413-415, 1997., 1996 Let R be a 2‐torsion free semiprime ring, I a nonzero ideal of R, Z the center of R and D : R → R a derivation. If d[x, y] + [x, y] ∈ Z or d[x, y] − [x, y] ∈ Z for all x, y ∈ I, then R is commutative.
Motoshi Hongan
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PRIME, MAXIMAL AND PRIMITIVE IDEALS IN SOME SUBRINGS OF POLYNOMIAL RINGS [PDF]
, 2014 In this paper we describe prime, maximal and primitive ideals in some graded subrings of polynomial rings.
Ferrero, Miguel, Miranda, Edilson Soares
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Skew $N$-Derivations on Semiprime Rings [PDF]
, 2012 For a ring $R$ with an automorphism $\sigma$, an $n$-additive mapping $\Delta:R\times R\times... \times R \rightarrow R$ is called a skew $n$-derivation with respect to $\sigma$ if it is always a $\sigma$-derivation of $R$ for each argument.
Wei Zhang +5 more
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Rank of elements of general rings in connection with unit-regularity
, 2018 We define the rank of elements of general unital rings, discuss its properties and give several examples to support the definition. In semiprime rings we give a characterization of rank in terms of invertible elements.
Stopar, Nik
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Veterinary Dermatology, Volume 36, Issue 4, Page 443-452, August 2025.Background – Allergen immunotherapy is used as aetiological treatment for canine atopic dermatitis (cAD). Objective – To assess the anti‐inflammatory agent‐sparing effect over 1 year of immunotherapy using pullulan‐conjugated recombinant Der f 2 (rDf2‐P). Conclusions and Clinical Relevance – Der f 2‐P immunotherapy can lead to a rapid reduction in anti‐
Masahiko Nagata +7 more
wiley +1 more source
Generalized derivations with central values on lie ideals LIE IDEALS [PDF]
, 2014 Let R be a prime ring of H a generalized derivation and L a noncentral lie ideal of R. We show that if l^sH(l)l^t in Z(R) for all lin2 L, where s, t> 0 are fixed integers, then H(x) = bx for some b in C, the extended centroid of R, or R satisfies S4 ...
Rahmani, Venus, Sahebi, Shervin
core
ON CERTAIN DIFFERENTIAL IDENTITIES IN PRIME RINGS WITH INVOLUTION
, 2015 In the present paper we investigate commutativity of -prime ring R, which satisfies certain differential identities on -ideals of R. Some results already known for prime rings on ideals have also been deduced.
M. Ashraf, M. Siddeeque
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A Note on Skew Derivations and Antiautomorphisms of Prime Rings
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this article, we investigate the behavior of a prime ring which admits a skew derivation satisfying certain functional identities involving an antiautomorphism. We employ tools such as generalized identities and commutativity‐preserving maps to analyze these rings.
Faez A. Alqarni +5 more
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