Concept
Commutative algebra
Related publications (42)
Algebraic and Boolean Methods for SFQ Superconducting Circuits
Giovanni De Micheli, Alessandro Tempia Calvino
Rapid single-flux quantum (RSFQ) is one of the most advanced and promising superconducting logic families, offering exceptional energy efficiency and speed. RSFQ technology requires delay registers (DFFs) and splitter cells to satisfy the path-balancing an ...
2024Correspondence functors and duality
A correspondence functor is a functor from the category of finite sets and correspondences to the category of k-modules, where k is a commutative ring. By means of a suitably defined duality, new correspondence functors are constructed, having remarkable p ...
ACADEMIC PRESS INC ELSEVIER SCIENCE2023Relative plus constructions
Let h be a connective homology theory. We construct a functorial relative plus construction as a Bousfield localization functor in the category of maps of spaces. It allows us to associate to a pair (X,H), consisting of a connected space X and an hperfect ...
2023On the commutativity of flows of rough vector fields
In the class of Sobolev vector fields in R-n of bounded divergence, for which the theory of DiPerna and Lions provides a well defined notion of flow, we characterize the vector fields whose flow commutes in terms of the Lie bracket and of a regularity cond ...
ELSEVIER2022Hopf algebras and Hopf-Galois extensions in infinity-categories
In this thesis, we study interactions between algebraic and coalgebraic structures in infinity-categories (more precisely, in the quasicategorical model of (infinity, 1)-categories). We define a notion of a Hopf algebra H in an E-2-monoidal infinity-catego ...
EPFL2022Unramified F-divided objects and the etale fundamental pro-groupoid in positive characteristic
Let X /S be a flat algebraic stack of finite presentation. We define a new & eacute;tale fundamental pro-groupoid pi(1)(X /S), generalizing Grothendieck's enlarged & eacute;tale fundamental group from SGA 3 to the relative situation. When S is of equal pos ...
GEOMETRY & TOPOLOGY PUBLICATIONS2022A localized reduced basis approach for unfitted domain methods on parameterized geometries
Annalisa Buffa, Pablo Antolin Sanchez, Margarita Chasapi
This work introduces a reduced order modeling (ROM) framework for the solution of parameterized second-order linear elliptic partial differential equations formulated on unfitted geometries. The goal is to construct efficient projection-based ROMs, which r ...
2022