… The proof is quite elementary, using only a strong form of the pure-projective periodicity
and … fp-projective. In a locally coherent category, all weakly fp-projective objects are fp-projective. …

… of the flat/projective and fp-projective periodicity theorems, as well as a common generalization
of the fp-injective/injective and cotorsion periodicity theorems. Both are applicable to …

… The modules in C are named weakly FP-projective modules in [1]. We note that if the ring
R is left coherent, then the class of strongly FP-injective modules is simply that of FP-injective …

… the cotorsion periodicity theorem of … of fp-projective periodicity theorem applicable to an
arbitrary (and not necessarily coherent) ring R. Another such version of fp-projective periodicity …

… JP = dw디 JP, where dw디 JP denotes the class of all complexes of FP-projective modules.
This is not just true for modules over a left coherent ring, but over any ring R. For the reader’s …

… ones are called the periodicity theorems in homological … flat/projective periodicity theorem
[8, 51] and the cotorsion periodicity … The known results on the periodicity theorems suggest that …

… 3.18, where K is the class of all weakly fp-projective R-modules. Noting that Q′ is right
rooted as so is Q, we get by Lemma 3.18 that the cotorsion pair (Rep(Q′, K), Ψ(J )) is hereditary …

… In the second part of the paper, we discuss cotorsion periodicity in category-theoretic
context, generalizing an argument of Bazzoni, Cortés-Izurdiaga, and Estrada. As the main …

This paper builds on top of arXiv:2306.02734. We consider a complete, separated topological
ring $\mathfrak R$ with a countable base of neighborhoods of zero consisting of open two-…

Let G be a connected reductive algebraic group with a Frobenius morphism F: G → G
defined over a finite field F p r . The main result of the paper is to prove that any rational G‐module …