Strongly transitive geometric spaces associated to hypermodules

By S. Anvariyeh, Bijan Davvaz. 2009

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Abstract In this paper, we use the strongly regular θ ∗ -relation on hypermodules (with canonical hypergroup) over a given Krasner hyperring. In this way, we consider the fundamental relation θ ∗ defined on a hypermodule and prove some results in this respect. Also, we determine a family P σ ( M ) of subsets of a hypermodule M and we give sufficient conditions such that the geometric space ( M , P σ ( M ) ) is strongly transitive and the relation θ is transitive.

Subfields: Algebra and Number Theory, Management Science and Operations Research

View Paper: https://www.semanticscholar.org/paper/c21bb0765d0edcf3442b8c7930b8a23aa201ac44