Results 21 to 30 of about 68 (65)

NEUTROSOPHIC RINGS [PDF]

, 2006
In this book we define the new notion of neutrosophic rings. The motivation for this study is two-fold. Firstly, the classes of neutrosophic rings defined in this book are generalization of the two well-known classes of rings: group rings and semigroup ...
Vasantha, Kandasamy, Kandasamy, W.B. Vasantha, Smarandache, Florentin   +2 more
core   +1 more source

On Generalized Derivations and Commutativity of Associative Rings [PDF]

, 2020
Let be a ring with center Z(). A mapping f : → is said to be strong commutativity preserving (SCP) on if [f (x), f (y)] = [x, y] and is said to be strong anti-commutativity preserving (SACP) on if f (x) ◦ f (y) = x ◦ y for all x, y ∈. In the present
Davvaz Bijan, Davvaz, Bijan, Kumar Deepak, Kumar, Deepak, Sandhu, Gurninder S., Sandhu Gurninder S.   +5 more
core   +1 more source

Generalized Derivations and Left Ideals in Prime and Semiprime Rings [PDF]

, 2011
Let R be an associative ring, λ a nonzero left ideal of R, d:R→R a derivation and G:R→R a generalized derivation.
Atanu Pattanayak, Basudeb Dhara
core   +1 more source

Smarandache Fuzzy Algebra [PDF]

, 2003
groupoid semi group semigroup group loop group groupoid semigroup loop semi group group ...
Vasantha, Kandasamy, W. B. Vasantha Kandasamy, Kandasamy, Vasantha   +2 more
core   +1 more source

ON DERIVATIONS SATISFYING CERTAIN IDENTITIES ON RINGS AND ALGEBRAS [PDF]

, 2019
The present paper deals with the commutativity of an associative ring $R$ and a unital Banach Algebra $A$ via derivations. Precisely, the study of multiplicative (generalized)-derivations $F$ and $G$ of semiprime (prime) ring $R$ satisfying the ...
Camci, Didem K., Sandhu, Gurninder, Aydin, Neset, Kumar, Deepak   +3 more
core   +4 more sources

On rings satisfying [(𝑎,𝑏,𝑐),𝑑]=0 [PDF]

, 1971
A simple nonassociative ring, in which the associators commute with all elements, is under mild additional assumptions either associative or commutative.
Armin Thedy
core   +1 more source

( U,R) STRONGLY DERIVATION PAIRS ON LIE IDEALS IN RINGS [PDF]

, 2015
Let R be an associative ring , U be a nonzero Lie ideal of R. In this paper , we will present the definition of (U,R) strongly derivation pair (d,g) , then we will get d=0 (resp.
A. Saed, Ikram
core   +1 more source

On dependent elements in rings [PDF]

, 2004
Let R be an associative ring. An element ▫$ain R$▫ is said to be dependent on a mapping ▫$F:Rto R$▫ in case ▫$F(x)a=ax$▫ holds for all ▫$xin R$▫. In this paper, elements dependent on certain mappings on prime and semiprime rings are investigated.
Vukman, Joso, Joso Vukman, Kosi-Ulbl, Irena, Irena Kosi-Ulbl   +3 more
core   +2 more sources

Jordan superderivations. II [PDF]

, 2004
In a recent paper we have extended the classical Herstein's theorem on Jordan derivations on prime rings to Jordan superderivations on prime associative superalgebras.
Fošner, Maja, Maja Fošner, Maja Fošner   +2 more
core   +2 more sources

Algunas observaciones sobre la propiedad fusible de las extensiones polinomiales no conmutativas [PDF]

, 2020
In this work, we focus on three objectives: first, we investigate fusible property on skew PBW extensions, recognizing conditions that guarantee the property for this family of algebras.
Higuera Rincón, Sebastián David
core   +1 more source