Hierarchy of RG flows in 6d (1, 0) orbi-instantons

M Fazzi, S Giri - Journal of High Energy Physics, 2022 - Springer
A bstract N M5-branes probing the intersection between the orbifold ℂ 2/Γ ADE and an E 8
wall give rise to 6d (1, 0) SCFTs known as ADE-type orbi-instantons. At fixed N and order of …

Auslander--Reiten theory in extriangulated categories

O Iyama, H Nakaoka, Y Palu - arXiv preprint arXiv:1805.03776, 2018 - arxiv.org
The notion of an extriangulated category gives a unification of existing theories in exact or
abelian categories and in triangulated categories. In this article, we develop Auslander …

Auslander–Reiten theory in extriangulated categories

O Iyama, H Nakaoka, Y Palu - … of the American Mathematical Society, Series …, 2024 - ams.org
The notion of an extriangulated category gives a unification of existing theories in exact or
abelian categories and in triangulated categories. In this article, we develop Auslander …

[HTML][HTML] Trace ideals and centers of endomorphism rings of modules over commutative rings

H Lindo - Journal of Algebra, 2017 - Elsevier
Let R be a commutative Noetherian ring and M a finitely generated R-module. Under various
hypotheses, it is proved that the center of End R (M) coincides with the endomorphism ring …

Dominant local rings and subcategory classification

R Takahashi - International Mathematics Research Notices, 2023 - academic.oup.com
We introduce a new notion of commutative noetherian local rings, which we call dominant.
We explore fundamental properties of dominant local rings and compare them with other …

[图书][B] Semilocal categories and modules with semilocal endomorphism rings

A Facchini - 2019 - Springer
Let R be an associative ring. This monograph deals with the right R-modules MR whose
endomorphism ring End (MR) is semilocal. More generally, let A be any preadditive …

Burch ideals and Burch rings

H Dao, T Kobayashi, R Takahashi - Algebra & Number Theory, 2020 - msp.org
We introduce the notion of Burch ideals and Burch rings. They are easy to define, and can
be viewed as generalization of many well-known concepts, for example integrally closed …

[图书][B] Representation theory of Geigle-Lenzing complete intersections

M Herschend, O Iyama, H Minamoto, S Oppermann - 2023 - ams.org
Weighted projective lines, introduced by Geigle and Lenzing in 1987, are important objects
in representation theory. They have tilting bundles, whose endomorphism algebras are the …

F-theory on singular spaces

A Collinucci, R Savelli - Journal of High Energy Physics, 2015 - Springer
A bstract We propose a framework for treating F-theory directly, without resolving or
deforming its singularities. This allows us to explore new sectors of gauge theories …

On reflexive and 𝐼-Ulrich modules over curve singularities

H Dao, S Maitra, P Sridhar - … of the American Mathematical Society, Series …, 2023 - ams.org
On reflexive and 𝐼-Ulrich modules over curve singularities Main Article Contents Mathematics
References Article Info Settings On reflexive and -Ulrich modules over curve singularities By …