Results 61 to 70 of about 3,700 (194)
Differential Operators and Differential Calculus on $delta-$Hom-Jordan-Lie Superalgebras
پژوهشهای ریاضی, 2020 Introduction Hom-algebraic structures appeared first as a generalization of Lie algebras in [1,3], where the authors studied q-deformations of Witt and Virasoro algebras. A general study and construction of Hom-Lie algebras
Valiollah Khalili
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σ-derivations on generalized matrix algebras
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020 Let be a commutative ring with unity, 𝒜, be -algebras, be (𝒜, )-bimodule and 𝒩 be (, 𝒜)-bimodule. The -algebra 𝒢 = 𝒢(𝒜, , 𝒩, ) is a generalized matrix algebra defined by the Morita context (𝒜, , , 𝒩, ξ𝒩, Ω𝒩).
Jabeen Aisha +2 more
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Higher Derivations on Lie Ideals
Trends in Computational and Applied Mathematics, 2002 In this paper we present a brief proof of a recently proved result [5, Corollary 1.4]. The main result states that if R is a prime ring of characteristic different of 2 and U is a Lie ideal of R where U 6½ Z(R), the center of R, u2 2 U for all u 2 U, and
C. HAETINGER
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On Jordan generalized derivations in gamma rings.
, 2003 Summary: We define generalized derivations and Jordan generalized derivations on \(\Gamma\)-rings and show that a Jordan generalized derivation on some \(\Gamma\)-ring is a generalized derivation.
Yılmaz Çeven, M.Ali Öztürk
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Odd and even derivations, transposed Poisson superalgebra and 3-Lie superalgebra [PDF]
Proceedings of the Estonian Academy of SciencesOne important example of a transposed Poisson algebra can be constructed by means of a commutative algebra and its derivation. This approach can be extended to superalgebras; that is, one can construct a transposed Poisson superalgebra given a ...
Viktor Abramov, Nikolai Sovetnikov
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Generalized Jordan Triple(θ, φ)-Derivations on Semiprime Rings
, 2013 [[abstract]]Let R be a 2-torsion free semiprime ring. In this paper we will show that every Jordan triple (θ, φ)-derivation on R is a (θ, φ)-derivation. Also every Jordan triple left centralizer on R is a left centralizer.
Liu, Cheng-Kai; Shiue, Wen-Kwei
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Generalized Projective product of semi-rings
Wasit Journal of Computer and Mathematics ScienceThe concept of Differential algebra has been played an influential role in various directions of abstract algebra. This notation has been considered before fifty years ago with semi-ring and several types of rings.
mohd Shahoodh
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THE SUFFICIENT CONDITIONS FOR A MULTIPLICATIVE DERIVATION IN THE JORDAN RING TO BE ADDITIVE
Derivation is a mapping from a set to itself. There are two types of derivations in rings: ordinary derivation and Jordan derivation. Given a triangular matrix ring T, a non-associative ring can be formed, known as a Jordan ring T.
Patty, Dyana +2 more
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Nonlinear Mixed Left Bi-Skew Jordan and Right Jordan-Type Derivations on ∗-Algebra
MathematicsConsider a unital ∗-algebra A defined over the complex field C. In this work, we establish that a mapping, referred to as a nonlinear mixed left bi-skew Jordan and right Jordan n-derivation, reduces to an additive ∗-derivation under certain conditions ...
Amal S. Alali, Md Arshad Madni
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Lie ideals and Jordan triple (α,β)-derivations in rings
, 2020 In this paper we prove that on a 2-torsion free semiprime ring R every Jordan triple (alpha, beta)-derivation (resp. generalized Jordan triple (alpha, beta)derivation) on Lie ideal L is an (alpha, beta)-derivation on L (resp.
Koç Sögütcü, Emine +4 more
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