6 papers
Kleisli convolution representations of power monoids
Haicun Wen, Jian He, Yu-Zhe Liu
We show that power semigroups of groups, and more generally reduced finitary power monoids, arise naturally as convolution monoids in Kleisli categories of powerset monads: (1) for…
Heaps of modules: homological aspects
Yongduo Wang, Chenyu Wang, Jian He +1
The definitions of projective objects and Gorenstein projective objects in the category of heaps of -modules are posed, where is a truss. It is shown that a heap of -modu…
Injectivity of modules over trusses
Yongduo Wang, Shujuan Han, Dengke Jia +2
As the dual notion of projective modules over trusses, injective modules over trusses are introduced. The Schanuel Lemmas on projective and injective modules over trusses are exhib…
Wakamatsu tilting subcategories and weak support tau-tilting subcategories in recollements
Yongduo Wang, Hongyang Luo, Yu-Zhe Liu +2
In this article, we prove that if (A, B, C) is a recollement of abelian categories, then Wakamatsu tilting (resp. weak support tau-tilting) subcategories in A and C can induce Waka…
Several results on exact sequences in categories of modules over trusses
Yongduo Wang, Dengke Jia, Jian He +1
Categorical aspects of the theory of modules over trusses were studied in recent years. The snake lemma and the nine lemma in categories of modules over trusses are formulated in t…
Cotorsion pairs in comma categories
Yuan Yuan, Jian He, Dejun Wu
Let A and B be abelian categories with enough projective and injective objects, and T : A-B a left exact additive functor. Then one has a comma category (B*T). It is shown that If…