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 …
Cohen-Macaulay representations … results on Cohen-Macaulay representations of quotient …
Representation-theoretic properties of balanced big Cohen–Macaulay modules
A Bahlekeh, FS Fotouhi, S Salarian - Mathematische Zeitschrift, 2019 - Springer
… big Cohen–Macaulay modules is … big Cohen–Macaulay modules is closed under
kernels of epimorphisms. Finally, we examine the mentioned results in the context of Cohen–Macaulay …
kernels of epimorphisms. Finally, we examine the mentioned results in the context of Cohen–Macaulay …
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 …
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. …
> 0 . … In Section 5, we discuss the case where the ring is Cohen-Macaulay of dimension one. …
[PDF][PDF] Studies on various conditions on Cohen–Macaulay rings and modules, with applications to the representation theory of maximal Cohen–Macaulay modules
T Kobayashi - (No Title), 2020 - nagoya.repo.nii.ac.jp
… in the representation theory of algebras. We explore suitable restrictions on maximal
Cohen– Macaulay modules to develop the representation theory of Cohen–Macaulay rings in …
Cohen– Macaulay modules to develop the representation theory of Cohen–Macaulay 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. …
a Cohen-Macaulay order over a complete regular local ring is of finite representation type. …
Non-arithmetically Cohen–Macaulay schemes of wild representation type
J Pons-Llopis - manuscripta mathematica, 2019 - Springer
… -representation type of non-arithmetically Cohen–Macaulay … that they are of aCMwild
representation for a broad choice of the … ) Let (X, OX (1)) be a polarized locally Cohen–Macaulay …
representation for a broad choice of the … ) Let (X, OX (1)) be a polarized locally Cohen–Macaulay …
When is a Specht ideal Cohen–Macaulay?
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 …
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 …
… 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 Cohen–Macaulay modules, and Cohen–Macaulay hearts
T Nakamura - … on Ring Theory and Representation Theory, 2023 - ring-theory-japan.com
… An R -module M is called (balanced) big Cohen– Macaulay if every system of parameters
of R is an M -regular sequence. We call an R -module M a weak big CM (= Cohen–Macaulay) …
of R is an M -regular sequence. We call an R -module M a weak big CM (= Cohen–Macaulay) …
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