Results 41 to 50 of about 4,283 (134)
Linking Bipartiteness and Inversion in Algebra via Graph‐Theoretic Methods and Simulink
Complexity, Volume 2025, Issue 1, 2025.Research for decades has concentrated on graphs of algebraic structures, which integrate algebra and combinatorics in an innovative way. The goal of this study is to characterize specific aspects of bipartite and inverse graphs that are associated with specific algebraic structures, such as weak inverse property quasigroups and their isotopes ...
Mohammad Mazyad Hazzazi +6 more
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Definite orders with locally free cancellation
Transactions of the London Mathematical Society, Volume 6, Issue 1, Page 53-86, December 2019., 2019 Abstract We enumerate all orders in definite quaternion algebras over number fields with the Hermite property; this includes all orders with the cancellation property for locally free modules.
Daniel Smertnig, John Voight
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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
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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
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(-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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Noncommmutative theorems: Gelfand Duality, Spectral, Invariant Subspace, and Pontryagin Duality [PDF]
, 2005 We extend the Gelfand-Naimark duality of commutative C*-algebras, "A COMMUTATIVE C*-ALGEBRA -- A LOCALLY COMPACT HAUSDORFF SPACE" to "A C*-ALGEBRA--A QUOTIENT OF A LOCALLY COMPACT HAUSDORFF SPACE".
Patel, Mukul S.
core
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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Explicit representations of 3-dimensional Sklyanin algebras associated to a point of order 2
, 2017 The representation theory of a 3-dimensional Sklyanin algebra $S$ depends on its (noncommutative projective algebro-) geometric data: an elliptic curve $E$ in $\mathbb{P}^2$, and an automorphism $\sigma$ of $E$ given by translation by a point. Indeed, by
Reich, Daniel J., Walton, Chelsea
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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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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
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