Some Aspects of Hyperatom Elements in Ordered Semihyperrings

نویسندگان

چکیده

In this paper, first, we state an operator LR on ordered semihyperring R. We show that if φ:R⟶T is a monomorphism and K⊆R, then LT(φ(K))=φ(LR(K)). Afterward, hyperatom elements in semihyperrings are defined some results respect investigated. Denote by A(R) the set of all hyperatoms prove R finite |R|≥2, for any q∈R\{0}, there exists hq∈A*(R)=A(R)\{0} such hq≤q. Finally, study LR-graph give examples. Furthermore, isomorphism, G G′ LT-graph T, G≅G′.

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ژورنال

عنوان ژورنال: Symmetry

سال: 2022

ISSN: ['0865-4824', '2226-1877']

DOI: https://doi.org/10.3390/sym14112265