0-Dimensional Ideal Approximation Theory
Representation Theory
2025-02-10 v1
Abstract
We propose axioms for 0-dimensional ideal approximation theory and note that extriangulated categories satisfy these axioms.
Cite
@article{arxiv.2502.04665,
title = {0-Dimensional Ideal Approximation Theory},
author = {H. Y. Zhu and X. H. Fu and I. Herzog and K. Schlegel},
journal= {arXiv preprint arXiv:2502.04665},
year = {2025}
}
Related papers
View all related →
Rings and Algebras · Mathematics
Ideal approximation in $n$-angulated categories
Lingling Tan, Dingguo Wang, Tiwei Zhao
2020-12-08
Category Theory · Mathematics
Ideal approximation in $n$-exangulated categories
Yucheng Wang, Jiaqun Wei
2022-07-28
Representation Theory · Mathematics
Extriangulated ideal quotients, with applications to cluster theory and gentle algebras
Xin Fang, Mikhail Gorsky, Yann Palu, Pierre-Guy Plamondon +1
2024-01-22
Algebraic Geometry · Mathematics
Approximable Triangulated Categories and Reflexive DG-categories
Isambard Goodbody, Theo Raedschelders, Greg Stevenson
2025-05-16
Category Theory · Mathematics
External triangulation of the homotopy category of exact quasi-category
Hiroyuki Nakaoka, Yann Palu
2020-04-07
Representation Theory · Mathematics
Relative tilting theory in extriangulated categories
Chenbei Xie
2022-10-10
Representation Theory · Mathematics
$\xi$-tilting objects in extriangulated categories
Yuxia Mei, Jiaqun Wei
2020-12-17
Category Theory · Mathematics
Approximable triangulated categories
Amnon Neeman
2021-06-28
Category Theory · Mathematics
Relative extriangulated categories arising from half exact functors
Arashi Sakai
2021-11-30
Number Theory · Mathematics
The Arithmetic of Diophantine Approximation Groups I: Linear Theory
T. M. Gendron
2016-03-14
Category Theory · Mathematics
Ideal cotorsion theories in triangulated categories
Simion Breaz, George-Ciprian Modoi
2017-07-04
Machine Learning · Statistics
Zero-error dissimilarity based classifiers
Robert P. W. Duin, Elzbieta Pekalska
2016-01-19
Representation Theory · Mathematics
Homological Dimensions of Extriangulated Categories and Recollements
Weili Gu, Xin Ma, Lingling Tan
2021-04-14
Category Theory · Mathematics
Auslander-Buchweitz Approximation Theory for Extriangulated Categories
Yajun Ma, Nanqing Ding, Yafeng Zhang
2020-07-15
Data Structures and Algorithms · Computer Science
Approximation Theory and the Design of Fast Algorithms
Sushant Sachdeva, Nisheeth Vishnoi
2013-09-20
Category Theory · Mathematics
A characterisation of extriangulated categories with triangulated structure
Dixy Msapato
2020-10-15
Category Theory · Mathematics
Tensor extriangulated categories
Raphael Bennett-Tennenhaus, Isambard Goodbody, Janina C. Letz, Amit Shah
2025-02-26
Machine Learning · Statistics
Approximate Vanishing Ideal via Data Knotting
Hiroshi Kera, Yoshihiko Hasegawa
2018-01-30
Machine Learning · Computer Science
Approximate is Good Enough: Probabilistic Variants of Dimensional and Margin Complexity
Pritish Kamath, Omar Montasser, Nathan Srebro
2020-03-10
Logic · Mathematics
Approximations of theories
Sergey Sudoplatov
2019-01-28
Category Theory · Mathematics
$n$-exangulated categories
Martin Herschend, Yu Liu, Hiroyuki Nakaoka
2018-12-11
Computational Geometry · Computer Science
Extraction Theorems With Small Extraction Numbers
Arjun Agarwal, Sayan Bandyapadhyay
2024-12-02
Representation Theory · Mathematics
On the Iyama-Yoshino reduction in extriangulated categories
Mindy Y. Huerta
2025-07-08
Representation Theory · Mathematics
Remarks on dimensions of triangulated categories
Takuma Aihara, Ryo Takahashi
2018-01-30
High Energy Physics - Theory · Physics
Integrable theories in any dimension: a perspective
Orlando Alvarez, L. A. Ferreira, J. Sanchez Guillen
2009-10-31