Results 71 to 80 of about 94,018 (202)

Witt vectors with coefficients and TR

Proceedings of the London Mathematical Society, Volume 130, Issue 5, May 2025.
Abstract We give a new construction of p$p$‐typical Witt vectors with coefficients in terms of ghost maps and show that this construction is isomorphic to the one defined in terms of formal power series from the authors' previous paper. We show that our construction recovers Kaledin's polynomial Witt vectors in the case of vector spaces over a perfect ...
Emanuele Dotto, Achim Krause, Thomas Nikolaus, Irakli Patchkoria   +3 more
wiley   +1 more source

Adjunctions Between Hom and Tensor as Endofunctors of (bi-)Module Category of Comodule Algebras Over a Quasi-Hopf Algebra

پژوهش‌های ریاضی, 2020
Introduction Over a commutative ring k, it is well known from the classical module theory that the tensor-endofunctor of is left adjoint to the Hom-endofunctor. The unit and counit of this adjunction is obtained trivially.
Saeid Bagheri
doaj  

The adjoints to the derivative functor on species

Journal of Combinatorial Theory, Series A, 1993
AbstractAs a direct consequence of the Kan Extension Theorem, the derivative functor, D, on (combinatorial) species, has both a left adjoint, MX, and a right adjoint, II. The functor MX can be described as “tensoring by X,” whereas the functor II is new.
openaire   +2 more sources

The homological spectrum via definable subcategories

Bulletin of the London Mathematical Society, Volume 57, Issue 4, Page 1040-1064, April 2025.
Abstract We develop an alternative approach to the homological spectrum of a tensor‐triangulated category through the lens of definable subcategories. This culminates in a proof that the homological spectrum is homeomorphic to a quotient of the Ziegler spectrum.
Isaac Bird, Jordan Williamson
wiley   +1 more source

A Finitary Adjoint Functor Theorem

, 2023
Graduated locally finitely presentable categories are introduced, examples include categories of sets, vector spaces, posets, presheaves and Boolean algebras. A finitary functor between graduated locally finitely presentable categories is proved to be a right adjoint if and only if it preserves countable limits.
Adámek, Jirí, Sousa, Lurdes
openaire   +2 more sources

Webb's conjecture and generalised Harish‐Chandra theory

Bulletin of the London Mathematical Society, Volume 57, Issue 4, Page 1083-1092, April 2025.
Abstract Webb's conjecture states that the orbit space of the Brown complex of a finite group at any given prime ℓ$\ell$ is contractible. This conjecture was proved by Symonds in 1998. In this paper, we suggest a generalisation of Webb's conjecture for finite reductive groups.
Damiano Rossi
wiley   +1 more source

Arithmetic Satake compactifications and algebraic Drinfeld modular forms

Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.
Abstract In this article, we construct the arithmetic Satake compactification of the Drinfeld moduli schemes of arbitrary rank over the ring of integers of any global function field away from the level structure, and show that the universal family extends uniquely to a generalized Drinfeld module over the compactification.
Urs Hartl, Chia‐Fu Yu
wiley   +1 more source

New building blocks for F1${\mathbb {F}}_1$‐geometry: Bands and band schemes

Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.
Abstract We develop and study a generalization of commutative rings called bands, along with the corresponding geometric theory of band schemes. Bands generalize both hyperrings, in the sense of Krasner, and partial fields in the sense of Semple and Whittle.
Matthew Baker, Tong Jin, Oliver Lorscheid   +2 more
wiley   +1 more source

Relative and absolute Lefschetz standard conjectures for some Lagrangian fibrations

Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.
Abstract We show that the hyper‐Kähler varieties of OG10‐type constructed by Laza–Saccà–Voisin (LSV) verify the Lefschetz standard conjecture. This is an application of a more general result, stating that certain Lagrangian fibrations verify this conjecture. The main technical assumption of this general result is that the Lagrangian fibration satisfies
Giuseppe Ancona, Mattia Cavicchi, Robert Laterveer, Giulia Saccà   +3 more
wiley   +1 more source

Syntax-Semantics Interaction in Mathematics

Studia Semiotyczne, 2019
DOI: http://doi.org/10.26333/sts.xxxii2.06 MICHAEL HELLER SYNTAX–SEMANTICS INTERACTION IN MATHEMATICS SU M M A R Y: Mathematical tools of category theory are employed to study the syntax-semantics problem in the philosophy of mathematics.
Michael Heller
doaj