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math.RT2024
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…
math.RT2024
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…
math.RT2024
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…