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 …

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

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 …

[HTML][HTML] The dimension of the category of maximal Cohen-Macaulay modules over Cohen-Macaulay local rings of dimension one

T Kawasaki, Y Nakamura, K Shimada - Journal of Algebra, 2019 - Elsevier
… / x a S does not have finite Cohen-Macaulay representation type and dim ⁡ CM ( S / x a S )
> 0 . … In Section 5, we discuss the case where the ring is Cohen-Macaulay of dimension one. …

[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 …

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. …

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

When is a Specht ideal CohenMacaulay?

K Yanagawa - Journal of Commutative Algebra, 2021 - projecteuclid.org
… In fact, if char(K) = 0, they give a complete list of irreducible representations of Sn, if we
consider all possible partitions λ of n. Specht modules occasionally appear in the study of …

Cohen-Macaulay differential graded modules and negative Calabi-Yau configurations

H Jin - Advances in Mathematics, 2020 - Elsevier
… introduce Cohen-Macaulay dg modules over dg algebras and develop their representation
… One of the main properties of the category of Cohen-Macaulay dg modules is that it has a …

[PDF][PDF] Govorov–Lazard type theorems, big CohenMacaulay modules, and CohenMacaulay hearts

T Nakamura - … on Ring Theory and Representation Theory, 2023 - ring-theory-japan.com
… An R -module M is called (balanced) big CohenMacaulay if every system of parameters
of R is an M -regular sequence. We call an R -module M a weak big CM (= CohenMacaulay) …