13 citations · 25 across the 10 of their papers we have counts for
10 papers
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…
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…
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,…
A Robust and Generalized Framework for Adversarial Graph Embedding
Jianxin Li, Xingcheng Fu, Hao Peng +5
Graph embedding is essential for graph mining tasks. With the prevalence of graph data in real-world applications, many methods have been proposed in recent years to learn high-qua…
Adversarial Directed Graph Embedding
Shijie Zhu, Jianxin Li, Hao Peng +2
Node representation learning for directed graphs is critically important to facilitate many graph mining tasks. To capture the directed edges between nodes, existing methods mostly…
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…
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…
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…
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…
Preprojective algebras of tree-type quivers
Van C. Nguyen, Gordana Todorov, Shijie Zhu
Let be a tree-type quiver, its path algebra, and a nonzero element in the field . We construct irreducible morphisms in the Auslander-Reiten quiv…