5 papers
Unital compressed commuting graph of matrices over a finite prime field
Ivan-Vanja Boroja, Damjana Kokol Bukovšek, Nik Stopar
In this paper we completely describe the unital compressed commuting graph of the ring of matrices over the finite prime field $\mathrm…
When does an infinite ring have a finite compressed commuting graph?
Ivan-Vanja Boroja, Damjana Kokol Bukovšek, Nik Stopar
We show that any infinite ring has an infinite nonunital compressed commuting graph. We classify all infinite unital rings with finite unital compressed commuting graph, using semi…
Compressed commuting graphs of matrix rings
Ivan-Vanja Boroja, Hamid Reza Dorbidi, Damjana Kokol Bukovšek +1
In this paper we introduce compressed commuting graph of rings. It can be seen as a compression of the standard commuting graph (with the central elements added) where we identify…
Indecomposable Modules in the Grassmannian Cluster Category
Dusko Bogdanic, Ivan-Vanja Boroja
In this paper we study indecomposable rank 2 modules in the Grassmannian cluster category . This is the smallest wild case containing modules whose profile laye…
Decomposable extensions between rank modules in Grassmannian cluster categories
Dusko Bogdanic, Ivan-Vanja Boroja
Rank modules are the building blocks of the category of Cohen-Macaulay modules over a quotient of a preprojective algebra of affine type . Jen…