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Graphs based on Hoop algebras

Title
Graphs based on Hoop algebras
Author
김희식
Keywords
hoop algebra; zero divisor; implicative graph; productive graph
Issue Date
2019-04
Publisher
MDPI
Citation
MATHEMATICS, v. 7, NO 4, 362
Abstract
In this paper, we investigate the graph structures on hoop algebras. First, by using the quasi-filters and r-prime (one-prime) filters, we construct an implicative graph and show that it is connected and under which conditions it is a star or tree. By using zero divisor elements, we construct a productive graph and prove that it is connected and both complete and a tree under some conditions.
URI
https://www.mdpi.com/2227-7390/7/4/362https://repository.hanyang.ac.kr/handle/20.500.11754/110714
ISSN
2227-7390
DOI
10.3390/math7040362
Appears in Collections:
COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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