The Hypergroupoid Semigroups as Generalizations of the Groupoid Semigroups

Jeong Soon Han, Hee Sik Kim and J. Neggers

Journal of Applied Mathematics, 2012, vol. 2012, 1-8

Abstract:

We introduce the notion of hypergroupoids ( ð » B i n ( ð ‘‹ ) , â–¡ ) , and show that ( ð » B i n ( ð ‘‹ ) , â–¡ ) is a super-semigroup of the semigroup ( B i n ( ð ‘‹ ) , â–¡ ) via the identification ð ‘¥ ↔ { ð ‘¥ } . We prove that ( ð » B i n ∗ ( ð ‘‹ ) , ⊖ , [ ∅ ] ) is a ð µ ð ¶ ð ¾ -algebra, and obtain several properties of ( ð » B i n ∗ ( ð ‘‹ ) , â–¡ ) .

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:717698

DOI: 10.1155/2012/717698

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