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Published in 2021 at "Bulletin of the Malaysian Mathematical Sciences Society"
DOI: 10.1007/s40840-021-01117-8
Abstract: Given a graph G, a subset M of V(G) is a module of G if for each $$v\in V(G)\setminus M$$ and $$x,y\in M$$ , $$vx \in E(G)$$ if and only if $$vy \in E(G)$$ .…
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Keywords:
graphs;
delta;
editing prime;
prime graphs ... See more keywords
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1
Published in 2021 at "Journal of Pure and Applied Algebra"
DOI: 10.1016/j.jpaa.2021.106990
Abstract: In this paper we study prime graphs of finite groups. The prime graph of a finite group G, also known as the Gruenberg-Kegel graph, is the graph with vertex set {primes dividing |G|} and an…
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Keywords:
prime graph;
finite groups;
order;
prime graphs ... See more keywords
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Published in 2022 at "Communications in Algebra"
DOI: 10.1080/00927872.2023.2196345
Abstract: We continue the study of prime simple modules for quantum affine algebras from the perspective of $q$-fatorization graphs. In this paper we establish several properties related to simple modules whose $q$-factorization graphs are afforded by…
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Keywords:
simple modules;
graphs reality;
prime graphs;
vertex prime ... See more keywords