On a class of rationally complete rings

AR Meijer - Quaestiones Mathematicae, 1978 - Taylor & Francis
ON A CLASS OF RATIONALLY COMPLETE RINGS Page 1 Quaestiones Mathematicae - 3(1978),
1-4 ON A CLASS OF RATIONALLY COMPLETE RINGS AR MEIJER ABSTRACT: Rings which …

Structure of perfect rings

V Dlab - Bulletin of the Australian Mathematical Society, 1970 - cambridge.org
In the present note, we offer a simple characterization of perfect rings in terms of their
components and socle sequences, which is subsequently used to establish a one-to-one …

Adjoint functors on the representation category of

WL Gan, L Li - arXiv preprint arXiv:2102.04638, 2021 - arxiv.org
In this paper we study adjunction relations between some natural functors on the
representation category of the category of finite linearly ordered sets and order-preserving …

A torsion theory for abelian categories

SE Dickson - Transactions of the American Mathematical Society, 1966 - JSTOR
1. Introduction and preliminaries. This paper deals with a generalization of the concept of
torsion Abelian groups. Our purpose is twofold. On the one hand, we treat the concept of …

Phantom morphisms and Salce's lemma

I Herzog - Expository lectures on representation theory, 2014 - books.google.com
A summary of the key aspects of ideal approximation theory is given, beginning with a
review of the motivating results and arguments from the classical approximation theory. The …

Hearts and towers in stable -categories

D Fiorenza, F Loregian, GL Marchetti - Journal of Homotopy and Related …, 2019 - Springer
We exploit the equivalence between t-structures and normal torsion theories on a stable
∞∞-category to show how a few classical topics in the theory of triangulated categories, ie …

[引用][C] Morita equivalence and its generalizations

M Wang - 2001 - Science Press

Classification of fully dualizable linear categories

G Stefanich - arXiv preprint arXiv:2307.16337, 2023 - arxiv.org
We prove that if $ R $ is a G-ring then every fully dualizable $ R $-linear cocomplete
category is equivalent to a twist by a $\mathbb {G} _m $-gerbe of the category of modules …

Bounded t-structures on the category of Perfect Complexes

H Smith - 2020 - search.proquest.com
We classify bounded t-structures on the category of perfect complexes over a commutative,
Noetherian ring of finite Krull dimension, extending a result of Alonso Tarrio, Jeremias Lopez …

[HTML][HTML] Addendum to “Direct limits in the heart of a t-structure: The case of a torsion pair”[J. Pure Appl. Algebra 219 (9)(2015) 4117–4143]

CE Parra, M Saorín - Journal of Pure and Applied Algebra, 2016 - Elsevier
Let G be a Grothendieck category, let t=(T, F) be a torsion pair in G and let (U t, W t) be the
associated Happel–Reiten–Smalø t-structure in the derived category D (G). We prove that …