Zobrazeno 1 - 10
of 143
pro vyhledávání: '"Yoshino, Yuji"'
The notion of naive lifting of DG modules was introduced by the authors in [16,17] for the purpose of studying problems in homological commutative algebra that involve self-vanishing of Ext. Our goal in this paper is to deeply study the naive lifting
Externí odkaz:
http://arxiv.org/abs/2309.05293
The goal of this paper is to construct a semifree resolution for a non-negatively graded strongly commutative DG algebra $B$ over the enveloping DG algebra $B\otimes_AB$, where $A\subseteq B$ is a DG subalgebra and $B$ is semifree over $A$. Our const
Externí odkaz:
http://arxiv.org/abs/2301.12267
Publikováno v:
In Journal of Pure and Applied Algebra January 2025 229(1)
The notion of naive liftability of DG modules is introduced in [9] and [10]. In this paper, we study the obstruction to naive liftability along extensions $A\to B$ of DG algebras, where $B$ is projective as an underlying graded $A$-module. We show th
Externí odkaz:
http://arxiv.org/abs/2109.00607
Publikováno v:
Mathematische Zeitschrift, 2022
Let n be a positive integer, and let A be a strongly commutative differential graded (DG) algebra over a commutative ring R. Assume that (a) B=A[X_1,...,X_n] is a polynomial extension of A, where X_1,...,X_n are variables of positive degrees; or (b)
Externí odkaz:
http://arxiv.org/abs/2102.04634
A major part of this paper is devoted to an in-depth study of j-operators and their properties. This study enables us to obtain several results on liftings and weak liftings of DG modules along simple extensions of DG algebras and unify the proofs of
Externí odkaz:
http://arxiv.org/abs/2011.15032
Autor:
Yoshino, Yuji
We develop in this paper a stable theory for projective complexes, by which we mean to consider a chain complex of finitely generated projective modules as an object of the factor category of the homotopy category modulo split complexes. As a result
Externí odkaz:
http://arxiv.org/abs/1805.05705
Autor:
Ono, Maiko, Yoshino, Yuji
Publikováno v:
Journal of Pure and Applied Algebra 221 (2017) 1268-1278
We give a principle in derived categories, which lies behind the classical Auslander-Reiten duality and its generalized version by Iyama and Wemyss. We apply the principle to show the validity of the Auslander-Reiten conjecture over a Gorenstein ring
Externí odkaz:
http://arxiv.org/abs/1805.05676
Autor:
Ono, Maiko, Yoshino, Yuji
Let $B = A< X | dX=t >$ be an extended DG algebra by the adjunction of variable of positive even degree $n$, and let $N$ be a semi-free DG $B$-module that is assumed to be bounded below as a graded module. We prove in this paper that $N$ is liftable
Externí odkaz:
http://arxiv.org/abs/1805.05658
We give a necessary condition of degeneration via matrix representations, and consider degenerations of indecomposable Cohen-Macaulay modules over hypersurface singularities of type ($A_\infty$). We also provide a method to construct degenerations of
Externí odkaz:
http://arxiv.org/abs/1802.10277