Geodesic
Quivers associated with finite rings -a cohomological approach
Filomat, Tome 37 (2023) no. 25, p. 8583

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DOI

In this paper we present the ongoing research on connection between digraphs associated to finite (commutative) rings and quiver representations. Digraph associated to a finite ring A has the set of vertices V = A2 and arrows (or edges) E = x, y → x + y, xy , x, y ∈ A . In another terminology, it is a finite quiver with loops. In addition to previous work to understand these graphs, the main goal of the present work is to introduce some new cohomological and quiver methods. These methods should provide us with better understanding of properties and classification of finite rings.
DOI : 10.2298/FIL2325583L
Classification : 13A70, 05C25, 05E40
Keywords: Finite commutative rings, Finite digraphs, Homological methods 
A T Lipkovski; J Matović ; née Škorić. Quivers associated with finite rings -a cohomological approach. Filomat, Tome 37 (2023) no. 25, p. 8583 . doi: 10.2298/FIL2325583L
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     title = {Quivers associated with finite rings -a cohomological approach},
     journal = {Filomat},
     pages = {8583 },
     year = {2023},
     volume = {37},
     number = {25},
     doi = {10.2298/FIL2325583L},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2325583L/}
}
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