… rings (where τ is a hereditary torsion theory), in Section 5 we extend the concept of n-coherent
rings and introduce the concept of (T ,n)-coherent rings (where T is a weak torsion class). …

… 2.101 has shown that R is right semihereditary if and only if R is right nonsingular, RQ is flat,
and the weak global dimension of R (WGD(R)) 1. Since, for Z(RR) = 0, RQ is flat if and only if …

… orthogonal complements (relative to the extension functor) of several classes of modules
in … coherent ring of weak global dimension at most 2. We plan to show that the class of ϕ-torsion …

… R-modules is called a weak torsion class [9] if T is closed under homomorphic images and
extensions. Following [9], if a class T of right R-modules is a weak torsion class, then a right R-…

… on coherence relative to an hereditary torsion theory, see [… In this section, we characterize
the coherent rings of finite weak … g-torsion theories, we also give a characterization of coherent …

… relative to the Coldie torsion theory) was soon followed by the study of coherent rings with
respect to special classes of torsion … is left nonsingular, it has weak global dimension wD(Rk1 …

… paper investigates flatness (and related properties) of products of … (We say that Ris right (t-)
coherent if every FG right ideal of … (Colby has shown [8, Proposition 5] that finite weak global …

… , every finitely presented R-module is a relative projective for it. The FP-injective dimension
… -torsion for each finitely presented R-module F and all integers \(k\ge 1\). For a coherent ring …

… We recall: A subclass T of left R-modules is called a weak torsion class (see [16]) if it is
closed under homomorphic images and extensions. Let T be a weak torsion class of left R-…

… torque on a magnet, commonly known as the Stodolsky effect [26… The second is due to
momentum transfer by the coherent … weak eigenstate masses and number densities are related to …