… 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 …

… 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 …

… 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 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 …

… 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 …

… 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, …

… 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-…

… 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], …

… 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…

… 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 …