Ext-finite modules for weakly symmetric algebras with radical cube zero
K Erdmann - Journal of the Australian Mathematical Society, 2017 - cambridge.org
Assume that whose ext-algebra is finite dimensional. This gives a complete classification of
weakly symmetric indecomposable algebras which have a nonprojective module whose ext …
weakly symmetric indecomposable algebras which have a nonprojective module whose ext …
On modules 𝑀 with 𝜏 (𝑀)≅ 𝜈Ω^{𝑑+ 2}(𝑀) for isolated singularities of Krull dimension 𝑑
R Marczinzik - Proceedings of the American Mathematical Society, 2020 - ams.org
A classical formula for the Auslander–Reiten translate $\tau $ says that $\tau
(M)\cong\nu\Omega^ 2 (M) $ for every indecomposable module $ M $ of a selfinjective Artin …
(M)\cong\nu\Omega^ 2 (M) $ for every indecomposable module $ M $ of a selfinjective Artin …
Truncated path algebras and Betti numbers of polynomial growth
R Coopergard, M Purin - Involve, a Journal of Mathematics, 2019 - msp.org
We investigate a class of truncated path algebras in which the Betti numbers of a simple
module satisfy a polynomial of arbitrarily large degree. We produce truncated path algebras …
module satisfy a polynomial of arbitrarily large degree. We produce truncated path algebras …
On modules with for isolated singularities of Krull dimension
R Marczinzik - arXiv preprint arXiv:1902.08169, 2019 - arxiv.org
A classical formula for the Auslander-Reiten translate $\tau $ says that $\tau
(M)\cong\nu\Omega^ 2 (M) $ for every indecomposable module $ M $ of a selfinjective Artin …
(M)\cong\nu\Omega^ 2 (M) $ for every indecomposable module $ M $ of a selfinjective Artin …
The vanishing of self-extensions over n-symmetric algebras of quasitilted type
A ring R satisfies the Generalized Auslander-Reiten Condition if any R-module M with no
self-extensions in degrees higher than m must have projective dimension at most m. We …
self-extensions in degrees higher than m must have projective dimension at most m. We …