Wide coreflective subcategories and torsion pairs
LA Hügel, F Sentieri - arXiv preprint arXiv:2304.00845, 2023 - arxiv.org
We revisit a construction of wide subcategories going back to work of Ingalls and Thomas.
To a torsion pair in the category $ R\operatorname {-}\operatorname {mod} $ of finitely …
To a torsion pair in the category $ R\operatorname {-}\operatorname {mod} $ of finitely …
Silting and cosilting modules over trivial ring extensions
L Mao - Communications in Algebra, 2023 - Taylor & Francis
We establish connections between (co, weak) silting modules over a ring R and (co, weak)
silting modules over a trivial extension of R. As applications, we describe how to construct …
silting modules over a trivial extension of R. As applications, we describe how to construct …
Injective Cogenerators, Cotilting Modules and Cosilting Modules
LX Mao - Acta Mathematica Sinica, English Series, 2023 - Springer
It is well known that the concept of cotilting modules generalizes injective cogenerators and
in turn, the concept of cosilting modules generalizes cotilting modules. In this paper, we …
in turn, the concept of cosilting modules generalizes cotilting modules. In this paper, we …