Non-arithmetically CohenMacaulay schemes of wild representation type

J Pons-Llopis - manuscripta mathematica, 2019 - Springer
… -representation type of non-arithmetically CohenMacaulay … that they are of aCMwild
representation for a broad choice of the … ) Let (X, OX (1)) be a polarized locally CohenMacaulay

[HTML][HTML] Representation-theoretic properties of balanced big CohenMacaulay modules

A Bahlekeh, FS Fotouhi, S Salarian - Mathematische Zeitschrift, 2019 - Springer
… big CohenMacaulay modules is … big CohenMacaulay modules is closed under
kernels of epimorphisms. Finally, we examine the mentioned results in the context of CohenMacaulay

Exact categories, big Cohen-Macaulay modules and finite representation type

C Psaroudakis, W Rump - Journal of Pure and Applied Algebra, 2022 - Elsevier
… In this paper, we investigate aspects of representation-finiteness in the general context of …
a Cohen-Macaulay order over a complete regular local ring is of finite representation type. …

Cohen-Macaulay representations of invariant subrings

R Tomonaga - arXiv preprint arXiv:2403.19282, 2024 - arxiv.org
Cohen-Macaulay type over arbitrary fields in dimension two. In this paper, we investigate
Cohen-Macaulay representations … results on Cohen-Macaulay representations of quotient …

Tilting CohenMacaulay representations

O Iyama - Proceedings of the International Congress of …, 2018 - World Scientific
… This is a survey on recent developments in Cohen-Macaulay representations via tilting and
cluster tilting theory. We explain triangle equivalences between the singularity categories of …

[HTML][HTML] Surfaces of minimal degree of tame representation type and mutations of CohenMacaulay modules

D Faenzi, F Malaspina - Advances in Mathematics, 2017 - Elsevier
… k [ X ] of X is CohenMacaulay, ie X is ACM (arithmetically CohenMacaulay). Then X supports
… sections H ⁎ 0 ( X , E ) is a maximal CohenMacaulay), unless X is P n itself, or a quadric …

Cohen-Macaulay representations of Artin-Schelter Gorenstein algebras of dimension one

O Iyama, Y Kimura, K Ueyama - arXiv preprint arXiv:2404.05925, 2024 - arxiv.org
… The aim of this paper is to study Cohen-Macaulay representations of a large class of
noncommutative Ngraded Gorenstein rings, called Artin-Schelter Gorenstein algebras A (Definition …

Extensions between CohenMacaulay modules of Grassmannian cluster categories

K Baur, D Bogdanic - Journal of Algebraic Combinatorics, 2017 - Springer
… blocks of the category of CohenMacaulay modules, and in order to understand
representation-theoretic invariants for the category of all CohenMacaulay modules, we must first do …

[PDF][PDF] Studies on various conditions on CohenMacaulay rings and modules, with applications to the representation theory of maximal CohenMacaulay modules

T Kobayashi - (No Title), 2020 - nagoya.repo.nii.ac.jp
… in the representation theory of algebras. We explore suitable restrictions on maximal
CohenMacaulay modules to develop the representation theory of CohenMacaulay rings in …

Symbolic powers of monomial ideals and Cohen-Macaulay vertex-weighted digraphs

P Gimenez, J Martínez-Bernal, A Simis… - … Algebra, and Related …, 2018 - Springer
… In this paper we study irreducible representations and symbolic … We give an effective
characterization of the CohenMacaulay vertex… are CohenMacaulay and satisfy Alexander …