Results 101 to 110 of about 1,179,667 (236)

On weakly S-ρ-ideals in noncommutative rings

Gulf Journal of Mathematics
Let R be a noncommutative ring, and φ ≠ S ⊆ R be an m-system of R. In this paper, we extend the concept of weakly prime ideals in noncommutative rings by introducing weakly S-ρ-ideals.
Alaa Abouhalaka, HAT˙ICE C¸AY, Nico Groenewald   +2 more
semanticscholar   +1 more source

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, Nadeem U. R. Rehman, Hafedh Alnoghashi, Junaid Nisar, Omar Al-Mallah, Ali Jaballah   +5 more
wiley   +1 more source

AN ANDERSON'S THEOREM ON NONCOMMUTATIVE RINGS [PDF]

Bulletin of the Korean Mathematical Society, 2008
Abstract. Let R be a ring and I be a proper ideal of R . For the caseof R being commutative, Anderson proved that ( ∗ ) there are only finitelymany prime ideals minimal over I whenever every prime ideal minimalover I is finitely generated. We in this note extend the class of ringsthat satisfies the condition ( ∗ ) to noncommutative rings, so called ho ...
Yang Lee, Nam Kyun Kim, Chan Huh
openaire   +2 more sources

Noncommutative analogue of Diffie-Hellman protocol in matrix ring over the residue ring

Bioinformatics, 2013
. Classical Diffie-Hellman protocol of the key establishment was the basis of the development of several key exchange protocols. But this protocol is not secure and it is not protected against the “man in the middle” attack.
S. K. Rososhek, E. Gorbunov
semanticscholar   +1 more source

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
wiley   +1 more source

On the smooth Whitney fibering conjecture

Journal of the London Mathematical Society, Volume 110, Issue 6, December 2024.
Abstract We improve upon the first Thom–Mather isotopy theorem for Whitney stratified sets. In particular, for the more general Bekka stratified sets we show that there is a local foliated structure with continuously varying tangent spaces, thus proving the smooth version of the Whitney fibering conjecture.
C. Murolo, A. du Plessis, D. J. A. Trotman   +2 more
wiley   +1 more source

Tubings, chord diagrams, and Dyson–Schwinger equations

Journal of the London Mathematical Society, Volume 110, Issue 5, November 2024.
Abstract We give series solutions to single insertion place propagator‐type systems of Dyson–Schwinger equations using binary tubings of rooted trees. These solutions are combinatorially transparent in the sense that each tubing has a straightforward contribution.
Paul‐Hermann Balduf, Amelia Cantwell, Kurusch Ebrahimi‐Fard, Lukas Nabergall, Nicholas Olson‐Harris, Karen Yeats   +5 more
wiley   +1 more source

Weak right η-centralizers of prime rings

Journal of Taibah University for Science
This work encompasses the study of certain weak maps termed as weak right η-centralizers defined on [Formula: see text] a noncommutative prime ring to [Formula: see text]. The first section provides an overview of the motivation behind our work.
Mohammad Aslam Siddeeque, Nazim Khan, Ali Ahmed Abdullah   +2 more
doaj   +1 more source

Complementation and Lebesgue‐type decompositions of linear operators and relations

Journal of the London Mathematical Society, Volume 109, Issue 5, May 2024.
Abstract In this paper, a new general approach is developed to construct and study Lebesgue‐type decompositions of linear operators or relations T$T$ in the Hilbert space setting. The new approach allows to introduce an essentially wider class of Lebesgue‐type decompositions than what has been studied in the literature so far.
S. Hassi, H. S. V. de Snoo
wiley   +1 more source

Noncommutative localization in topology [PDF]

, 2002
A survey of the applications of the noncommutative Cohn localization of rings to the topology of manifolds with infinite fundamental group, with particular emphasis on the algebraic K- and L-theory of generalized free products.Comment: 20 pages, LATEX ...
Ranicki, Andrew
core   +5 more sources