Results 1 to 10 of about 21,031 (277)
Jordan automorphisms, Jordan derivations of generalized triangular matrix algebra [PDF]
International Journal of Mathematics and Mathematical Sciences, 2005 We investigate Jordan automorphisms and Jordan derivations of a class of algebras called generalized triangular matrix algebras. We prove that any Jordan automorphism on such an algebra is either an automorphism or an antiautomorphism and any Jordan ...
Aiat Hadj Ahmed Driss +1 more
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Symmetry and Self-Duality in Categories of Probabilistic Models [PDF]
Electronic Proceedings in Theoretical Computer Science, 2012 This note adds to the recent spate of derivations of the probabilistic apparatus of finite-dimensional quantum theory from various axiomatic packages. We offer two different axiomatic packages that lead easily to the Jordan algebraic structure of finite ...
Alexander Wilce
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Generalized Derivations and Generalized Jordan Derivations on C∗-Algebras through Zero Products
Journal of Mathematics, 2022 Let A be a unital C∗-algebra and X be a unitary Banach A-bimodule. In this paper, we characterize continuous generalized derivations and generalized Jordan derivations as form D:A⟶X through the action on zero product.
Abbas Zivari-Kazempour, Abasalt Bodaghi
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Hyers-Ulam-Rassias stability of (m, n)-Jordan derivations
Open Mathematics, 2020 In this paper, we study the Hyers-Ulam-Rassias stability of (m,n)(m,n)-Jordan derivations. As applications, we characterize (m,n)(m,n)-Jordan derivations on C⁎{C}^{\ast }-algebras and some non-self-adjoint operator algebras.
An Guangyu, Yao Ying
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Orthogonally C∗-Ternary Jordan Homomorphisms and Jordan Derivations: Solution and Stability
Journal of Mathematics, 2022 In this work, by using some orthogonally fixed point theorem, we prove the stability and hyperstability of orthogonally C∗-ternary Jordan homomorphisms between C∗-ternary Banach algebras and orthogonally C∗-ternary Jordan derivations of some functional ...
Vahid Keshavarz, Sedigheh Jahedi
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Study of Additively Regular Г -Semirings and Derivations
Discussiones Mathematicae - General Algebra and Applications, 2022 In this paper, the notions of commutator and derivation in additively regular -semirings with (A2, Г)-condition are introduced. We also characterize Jordan product for additively regular Г -semiring and establish some results which investigate the ...
Dadhwal Madhu, Neelam
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Jordan Derivations of a Skew Matrix Ring [PDF]
, 2000 We determine the form of Jordan derivations of a skew matrix ring M2(R; σ, q) over a ring R. Using this result, we also show the properties of Jordan derivations of M2(R), and derivations of M2(R; σ, q).
Hamaguchi, Naoki
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JORDAN DERIVATIONS AND JORDAN LEFT DERIVATIONS OF BANACH ALGEBRAS
Communications of the Korean Mathematical Society, 2002 Summary: We obtain some results concerning Jordan derivations and Jordan left derivations mapping into the Jacobson radical. Our main result is the following: Let \(d\) be a Jordan derivation (resp. Jordan left derivation) of a complex Banach algebra \(A\). If \(d^2(x)=0\) for all \(x\in A\), then we have \(d(A)\subseteq\text{rad}(A)\).
Park, Kyoo-Hong, Jung, Yong-Soo
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Commutativity of a 3-Prime near Ring Satisfying Certain Differential Identities on Jordan Ideals
Mathematics, 2020 The purpose of this study is to obtain the commutativity of a 3-prime near ring satisfying some differential identities on Jordan ideals involving derivations and multiplicative derivations.
Asma Ali, Inzamam ul Huque
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Generalized Jordan N-Derivations of Unital Algebras with Idempotents
Journal of Mathematics, 2021 Let A be a unital algebra with idempotent e over a 2-torsionfree unital commutative ring ℛ and S:A⟶A be an arbitrary generalized Jordan n-derivation associated with a Jordan n-derivation J.
Xinfeng Liang
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