Results 51 to 60 of about 3,743 (118)
, 2018 We equip a family of algebras whose noncommutativity is of Lie type with a derivation based differential calculus obtained, upon suitably using both inner and outer derivations, as a reduction of a redundant calculus over the Moyal four dimensional space.
Marmo, Giuseppe +2 more
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A New Image Encryption Method Using an Optimized Smart Codebook
Human Behavior and Emerging Technologies, Volume 2025, Issue 1, 2025.Information attacks have increased worldwide as more information is available in digital form. Image encryption is essential to prevent attackers from unauthorized access to confidential images. In this paper, we introduce a novel image encryption method called the smart codebook, which combines an intelligent codebook technique with the RSA (Rivest ...
Rami Sihwail +2 more
wiley +1 more source
(-1,-1)-Balanced Freudenthal Kantor triple systems and noncommutative Jordan algebras
Journal of Algebra, 2004 A noncommutative Jordan algebra of a specific type is attached to any (-1,-1)-balanced Freudenthal Kantor triple system, in such a way that the triple product in this system is determined by the binary product in the algebra. Over fields of characteristic zero, the simple noncommutative Jordan algebras of this type are classified.
Elduque, Alberto +2 more
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A Note on Skew Derivations and Antiautomorphisms of Prime Rings
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this article, we investigate the behavior of a prime ring which admits a skew derivation satisfying certain functional identities involving an antiautomorphism. We employ tools such as generalized identities and commutativity‐preserving maps to analyze these rings.
Faez A. Alqarni +5 more
wiley +1 more source
Structure Theory for Real Noncommutative Jordan H*-Algebras
Journal of Algebra, 1994 An \(H^*\)-algebra is an algebra defined on a real or complex Hilbert space, with inner product \((\cdot|\cdot)\), together with an involution \(*\) such that \((xy| z)= (y| x^* z)=(x| zy^*)\). This paper is devoted to the study of the real noncommutative Jordan \(H^*\)-algebras. The complex case was dealt with by \textit{J. A.
Mira, J.A.C., Sanchez, A.S.
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PBW Deformations of Smash Products Involving Hopf Algebra of Kac–Paljutkin Type
Journal of Mathematics, Volume 2025, Issue 1, 2025.Let H2n2 be the Kac–Paljutkin–type Hopf algebra of dimension 2n2, A its graded Koszul Artin–Schelter regular H2n2‐module algebra of Dimension 2, A! the Koszul dual of A, and Acop the braided‐opposite algebra of A. This paper describes (0, 1)‐degree PBW deformations of the smash product A♯H2n2 and those of A!♯H2n2 under the condition that the Koszul ...
Yujie Gao, Shilin Yang, Naihuan Jing
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On a Class of Nodal Noncommutative Jordan Algebras [PDF]
Transactions of the American Mathematical Society, 1967 where f-g is the product of f=f(x1, . . ., xn) and g=g(x1, . . ., xn) in Bn and the = 1[xi, xj] = (xixj -xjxi) are arbitrary except for the proviso that at least one of them is nonsingular. That is, there must exist a cij = aij1 + wij with aij =0. This implies that n ? 2. The class K was constructed by L.
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Applying projective functors to arbitrary holonomic simple modules
Journal of the London Mathematical Society, Volume 110, Issue 2, August 2024.Abstract We prove that applying a projective functor to a holonomic simple module over a semisimple finite‐dimensional complex Lie algebra produces a module that has an essential semisimple submodule of finite length. This implies that holonomic simple supermodules over certain Lie superalgebras are quotients of modules that are induced from simple ...
Marco Mackaay +2 more
wiley +1 more source
Positive contractive projections on noncommutative $\mathrm{L}^p$-spaces
, 2020 In this paper, we prove the first theorems on contractive projections on general noncommutative $\mathrm{L}^p$-spaces associated with non-type I von Neumann algebras where $1 < p < \infty$.
Arhancet, Cédric
core
On representations of dialgebras and conformal algebras
, 2011 In this note, we observe a relation between dialgebras (in particular, Leibniz algebras) and conformal algebras. The purpose is to show how the methods of conformal algebras help solving problems on dialgebras, and, conversely, how the ideas of ...
Kolesnikov, Pavel
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