LAUSR

Generalized derivations with multilinear polynomials in prime rings

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0 Published in 2018 at "Communications in Algebra"

DOI: 10.1080/00927872.2018.1468899

Abstract: Abstract Let R be a prime ring of characteristic different from two with Utumi quotient ring U and extended centroid C, be a multilinear polynomial over C, which is not central valued on R. Suppose… read more here.

Keywords: prime rings; multilinear polynomials; polynomials prime; derivations multilinear ... See more keywords

b-Generalized Derivations Acting on Multilinear Polynomials in Prime Rings

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0 Published in 2018 at "Algebra Colloquium"

DOI: 10.1142/s1005386718000482

Abstract: Let R be a prime ring of characteristic different from 2, Q be its maximal right ring of quotients, and C be its extended centroid. Suppose that [Formula: see text] is a non-central multilinear polynomial… read more here.

Keywords: acting multilinear; see text; formula see; derivations acting ... See more keywords

Engel type identities with generalized derivations in prime rings

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1 Published in 2017 at "Asian-european Journal of Mathematics"

DOI: 10.1142/s1793557118500559

Abstract: Let R be a noncommutative prime ring with its Utumi ring of quotients U, C = Z(U) the extended centroid of R, G a generalized derivation of R and I a nonzero ideal of R.… read more here.

Keywords: derivations prime; prime rings; type identities; identities generalized ... See more keywords

Certain commutativity criteria for rings with involution involving generalized derivations

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0 Published in 2018 at "Georgian Mathematical Journal"

DOI: 10.1515/gmj-2018-0010

Abstract: Abstract In this article we investigate some commutativity criteria for a ring with involution ( R , ∗ {(R,\ast} ) in which generalized derivations satisfy certain algebraic identities. Moreover, we provide examples to show that… read more here.

Keywords: certain commutativity; involution; commutativity criteria; generalized derivations ... See more keywords

Identities related to generalized derivations in prime ∗-rings

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0 Published in 2019 at "Georgian Mathematical Journal"

DOI: 10.1515/gmj-2019-2056

Abstract: Abstract Let ℛ{\mathcal{R}} be a prime ring with center Z⁢(ℛ){Z(\mathcal{R})} and *{*} an involution of ℛ{\mathcal{R}}. Suppose that ℛ{\mathcal{R}} admits generalized derivations F, G and H associated with a nonzero derivation f, g and h… read more here.

Keywords: nobreak circ; related generalized; circ nobreak; circ ... See more keywords