Results 11 to 20 of about 104 (51)
On central identities equipped with skew Lie product involving generalized derivations
Journal of King Saud University: Science, 2022 Let R be a *-ring. For any x,y∈R, we denote the skew Lie product of x and y by ▿[x,y]=xy-yx∗. An additive mapping F:R→R is called a generalized derivation if there exists a derivation d such that F(xy)=F(x)y+xd(y) for all x,y∈R.
Shakir Ali +2 more
doaj
Veterinary Dermatology, Volume 29, Issue 5, Page 449-e152, October 2018., 2018 Background Polymerized allergoids coupled to nonoxidized mannan (PM‐allergoids) are novel allergen preparations used for immunotherapy. Objective To evaluate PM‐allergoids as an alternative immunotherapy for dogs with canine atopic dermatitis (cAD) associated with serological responses to Dermatophagoides farinae allergens.
José‐Luis González +5 more
wiley +1 more source
A Note on Multiplicative (Generalized) (α, β)-Derivations in Prime Rings
Annales Mathematicae Silesianae, 2019 Let R be a prime ring with center Z(R). A map G : R →R is called a multiplicative (generalized) (α, β)-derivation if G(xy)= G(x)α(y)+β(x)g(y) is fulfilled for all x; y ∈ R, where g : R → R is any map (not necessarily derivation) and α; β : R → R are ...
Rehman Nadeem ur +2 more
doaj +1 more source
Rank of elements of general rings in connection with unit-regularity [PDF]
Journal of Pure and Applied Algebra, 224 (2020), 106211, 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. As an application we prove that every element in the socle of a unital semiprime ring is unit-regular.
arxiv +1 more source
Veterinary Dermatology, Volume 29, Issue 2, Page 134-e53, April 2018., 2018 Background – Nasal hyperkeratosis may cause discomfort in dogs by predisposing to fissures and secondary bacterial infection. Approaches to treatment have been described anecdotally; the effectiveness of such therapies remains unproven. Hypothesis/Objectives – To investigate the efficacy of a balm containing essential oils and essential fatty acids in ...
Mathilde Catarino +4 more
wiley +1 more source
On Jordan ideals and left (θ, θ)‐derivations in prime rings
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 37, Page 1957-1964, 2004., 2004 Let R be a ring and S a nonempty subset of R. Suppose that θ and ϕ are endomorphisms of R. An additive mapping δ : R → R is called a left (θ, ϕ)‐derivation (resp., Jordan left (θ, ϕ)‐derivation) on S if δ(xy) = θ(x)δ(y) + ϕ(y)δ(x) (resp., δ(x2) = θ(x)δ(x) + ϕ(x)δ(x)) holds for all x, y ∈ S.
S. M. A. Zaidi +2 more
wiley +1 more source
Commutativity of Prime Rings with Symmetric Biderivations
Discussiones Mathematicae - General Algebra and Applications, 2018 The present paper shows some results on the commutativity of R: Let R be a prime ring and for any nonzero ideal I of R, if R admits a biderivation B such that it satisfies any one of the following properties (i) B([x, y], z) = [x, y], (ii) B([x, y], m) +
Reddy B. Ramoorthy, Reddy C. Jaya Subba
doaj +1 more source
On derivations and commutativity in prime rings
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 70, Page 3859-3865, 2004., 2004 Let R be a prime ring of characteristic different from 2, d a nonzero derivation of R, and I a nonzero right ideal of R such that [[d(x), x], [d(y), y]] = 0, for all x, y ∈ I. We prove that if [I, I]I ≠ 0, then d(I)I = 0.
Vincenzo De Filippis
wiley +1 more source
On zero subrings and periodic subrings
International Journal of Mathematics and Mathematical Sciences, Volume 28, Issue 7, Page 413-417, 2001., 2001 We give new proofs of two theorems on rings in which every zero subring is finite; and we apply these theorems to obtain a necessary and sufficient condition for an infinite ring with periodic additive group to have an infinite periodic subring.
Howard E. Bell
wiley +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 1, Page 55-57, 2000., 2000 For prime rings R, we characterize the set U∩CR([U, U]), where U is a right ideal of R; and we apply our result to obtain a commutativity‐or‐finiteness theorem. We include extensions to semiprime rings.
Howard E. Bell
wiley +1 more source