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20172022
most citedMinimal inclusions of torsion classes

13 citations · 25 across the 10 of their papers we have counts for

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math.RT2022

Pointed Hopf Algebras of Discrete Corepresentation Type

Miodrag Iovanov, Emre Sen, Alexander Sistko +1

We classify pointed Hopf algebras of discrete corepresentation type over an algebraically closed field K with characteristic zero. For such algebras , we explicitly determine th…

math.RT2022

Separated monic correspondence of cotorsion pairs and semi-Gorenstein-projective modules

Xiu-Hua Luo, Shijie Zhu

Given a finite dimensional algebra over a field , and a finite acyclic quiver , let , where is the path algebra of over and is a mono…

math.RT2022

Continuous Nakayama Representations

Job D. Rock, Shijie Zhu

We introduce continuous analogues of Nakayama algebras. In particular, we introduce the notion of (pre-)Kupisch functions, which play a role as Kupisch series of Nakayama algebras,…

math.RT2019

Dynamical Combinatorics and Torsion Classes

Emily Barnard, Gordana Todorov, Shijie Zhu

For finite semidistributive lattices the map gives a bijection between the sets of completely join-irreducible elements and completely meet-irreducible elements. Here we study…

math.RT2017

Functors and morphisms determined by subcategories

Shijie Zhu

We study the existence and uniqueness of minimal right determiners in various categories. Particularly in a Hom-finite hereditary abelian category with enough projectives, we prove…

math.RT2017★ 13 cited

Minimal inclusions of torsion classes

Emily Barnard, Andrew T. Carroll, Shijie Zhu

Let be a finite-dimensional associative algebra. The torsion classes of form a lattice under containment, denoted by . In this paper, we characterize the co…

math.RT2017★ 6 cited

Dominant dimension and tilting modules

Van C. Nguyen, Idun Reiten, Gordana Todorov +1

We study which algebras have tilting modules that are both generated and cogenerated by projective-injective modules. Crawley-Boevey and Sauter have shown that Auslander algebras h…