Results 81 to 90 of about 1,200,355 (273)
Global bases for Bosonic extensions of quantum unipotent coordinate rings
Proceedings of the London Mathematical Society, Volume 131, Issue 2, August 2025.Abstract In the paper, we establish the global basis theory for the bosonic extension Â$\widehat{\mathcal {A}}$ associated with an arbitrary symmetrizable generalized Cartan matrix. When Â$\widehat{\mathcal {A}}$ is of simply laced finite type, Â$\widehat{\mathcal {A}}$ is isomorphic to the quantum Grothendieck ring Kq(Cg0)$\mathcal {K}_q(\mathcal ...
Masaki Kashiwara +3 more
wiley +1 more source
VIC-modules over noncommutative rings
, 2020 For a finite ring $R$, not necessarily commutative, we prove that the category of $\text{VIC}(R)$-modules over a left Noetherian ring $\mathbf{k}$ is locally Noetherian, generalizing a theorem of the authors that dealt with commutative $R$.
Putman, Andrew, Sam, Steven V
core
On the injective dimension of unit Cartier and unit Frobenius modules
Bulletin of the London Mathematical Society, Volume 57, Issue 7, Page 2006-2017, July 2025.Abstract Let R$R$ be a regular F$F$‐finite ring of prime characteristic p$p$. We prove that the injective dimension of every unit Frobenius module M$M$ in the category of unit Frobenius modules is at most dim(SuppR(M))+1$\dim (\operatorname{Supp}_R(M))+1$.
Manuel Blickle +3 more
wiley +1 more source
Noncommutative Geometry and Arithmetic [PDF]
, 2010 This is an overview of recent results aimed at developing a geometry of noncommutative tori with real multiplication, with the purpose of providing a parallel, for real quadratic fields, of the classical theory of elliptic curves with complex ...
Marcolli, Matilde
core +1 more source
Preservation for generation along the structure morphism of coherent algebras over a scheme
Bulletin of the London Mathematical Society, Volume 57, Issue 6, Page 1885-1896, June 2025.Abstract This work demonstrates classical generation is preserved by the derived pushforward along the structure morphism of a noncommutative coherent algebra to its underlying scheme. Additionally, we establish that the Krull dimension of a variety over a field is a lower bound for the Rouquier dimension of the bounded derived category associated with
Anirban Bhaduri, Souvik Dey, Pat Lank
wiley +1 more source
Free quasi-symmetric functions, product actions and quantum field theory of partitions [PDF]
, 2004 We examine two associative products over the ring of symmetric functions related to the intransitive and Cartesian products of permutation groups.
Duchamp, Gerard Henry Edmond +3 more
core +3 more sources
Probing Noncommutativities of Phase Space by Using Persistent Charged Current and Its Asymmetry
, 2017 We study the physical properties of the persistent charged current in a metal ring on a noncommutative phase space, and temperature dependence of the noncommutative corrections are also analyzed.
Ma, Kai, Ren, Ya-Jie, Wang, Ya-Hui
core +1 more source
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
Convex Portrait in a Self‐Mirror: Social Dissonance and Social Synthesis
Future Humanities, Volume 3, Issue 1, May 2025.ABSTRACT Social dissonance is both a form of practice, an effect of that practice‐ the furthering of the already present socially dissonant effect/affect‐, and a specific score, proposing possible kinds of action to an audience to bring about the consciousness of their own unfreedom‐ or, more radically, the consciousness of their unconsciousness.
Jean‐Pierre Caron
wiley +1 more source
Endomorphism rings of finite global dimension [PDF]
, 2004 For a commutative local ring $R$, consider (noncommutative) $R$-algebras $\Lambda$ of the form $\Lambda = End_R(M)$ where $M$ is a reflexive $R$-module with nonzero free direct summand.
Leuschke, Graham J.
core +3 more sources