Torsion pairs over n-hereditary rings
D Bravo, CE Parra - Communications in Algebra, 2019 - Taylor & Francis
… ring which is 2-hereditary, but not 1-hereditary, such that the torsion pairs over this ring are
not trivial… for these classes of modules to form part of a torsion pair, to be also closed by either …
not trivial… for these classes of modules to form part of a torsion pair, to be also closed by either …
CG torsion pairs
D Bravo, CE Parra - Journal of Algebra and Its Applications, 2019 - World Scientific
… a torsion pair of finite type that is not a tCG torsion pair. Finally, over a von Neumann regular
ring (VNR), we show that the only tCG torsion … that the torsion pair (Ca, Ta) is not trivial. Let S …
ring (VNR), we show that the only tCG torsion … that the torsion pair (Ca, Ta) is not trivial. Let S …
Hearts for commutative Noetherian rings: torsion pairs and derived equivalences
S Pavon, J Vitória - Documenta Mathematica, 2021 - content.ems.press
… and its derived counterpart are: decompose into simpler parts and … torsion pairs and t-structures.
In Section 3 we turn to the definition of support over a commutative noetherian ring and …
In Section 3 we turn to the definition of support over a commutative noetherian ring and …
[HTML][HTML] One-tilting classes and modules over commutative rings
M Hrbek - Journal of Algebra, 2016 - Elsevier
… In the second part of the paper, we use this idea and construct an associated tilting module
… R be a commutative ring. We begin by proving that any cofinite type 1-cotilting torsion pair is …
… R be a commutative ring. We begin by proving that any cofinite type 1-cotilting torsion pair is …
Parametrizing torsion pairs in derived categories
L Angeleri Hügel, M Hrbek - … Theory of the American Mathematical Society, 2021 - ams.org
… As a consequence, we prove that the homological ring epimorphisms starting in a ring of …
We have to prove the only-if-part, or equivalently, we have to show that ⊥Z V = 0 implies V …
We have to prove the only-if-part, or equivalently, we have to show that ⊥Z V = 0 implies V …
On large and small torsion pairs
F Sentieri - 2022 - iris.unitn.it
… abelian categories in smaller parts which are easier to … show that non-trivial minimal cosilting
torsion pairs always admit a … In this section R will be an arbitrary ring. As we have shown, …
torsion pairs always admit a … In this section R will be an arbitrary ring. As we have shown, …
On the integral cohomology ring of toric orbifolds and singular toric varieties
A Bahri, S Sarkar, J Song - Algebraic & geometric topology, 2017 - msp.org
… X/ has a torsion part, then its prime factors must divide ja1bm b1amj. But the same argument
can be applied to all the other vertices in Q. Finally, we may conclude that H .X/ is torsion-…
can be applied to all the other vertices in Q. Finally, we may conclude that H .X/ is torsion-…
Torsion-freeness for fusion rings and tensor C*-categories
Y Arano, K De Commer - Journal of Noncommutative Geometry, 2019 - ems.press
… rings can be non-trivial yet torsion-free. We now aim to show that the fusion rings A.1/ and
A.2/ in Examples 1.4 and 1.5 are torsion… of the fusion rings associated to the components [27], …
A.2/ in Examples 1.4 and 1.5 are torsion… of the fusion rings associated to the components [27], …
Rings on Abelian torsion-free groups of finite rank
EI Kompantseva, AA Tuganbaev - Beiträge zur Algebra und Geometrie …, 2022 - Springer
… In the theory of additive groups of rings, one of parts is the study of Abelian … trivial ring is
filial. In the following theorem, it is proved that there do not exist filial nilpotent rings besides trivial…
filial. In the following theorem, it is proved that there do not exist filial nilpotent rings besides trivial…
Active filaments I: Curvature and torsion generation
… stems, the active or growing part of the material depends on … by the filament acquiring
intrinsic torsion and curvature. This … We first consider the case of a ring of helical fibers R ∈ [ R 1 …
intrinsic torsion and curvature. This … We first consider the case of a ring of helical fibers R ∈ [ R 1 …