Convolution semigroups and potential kernels on a commutative hypergroup

2011 ◽  
Author(s):  
H. Heyer
Keyword(s):  
Convolution Semigroups ◽  
Commutative Hypergroup

On the g-hypergroupoids associated with g-hypergraphs

Filomat ◽  
2017 ◽  
Vol 31 (15) ◽  
pp. 4819-4831 ◽  
Author(s):  
Mehdi Farshi ◽  
Bijan Davvaz ◽  
Saeed Mirvakili
Keyword(s):  
Direct Product ◽  
Fundamental Relation ◽  
Join Space ◽  
Commutative Hypergroup ◽  
Regular Relation

In this paper, we associate a partial g-hypergroupoid with a given g-hypergraph and analyze the properties of this hyperstructure. We prove that a g-hypergroupoid may be a commutative hypergroup without being a join space. Next, we define diagonal direct product of g-hypergroupoids. Further, we construct a sequence of g-hypergroupoids and investigate some relationships between it?s terms. Also, we study the quotient of a g-hypergroupoid by defining a regular relation. Finally, we describe fundamental relation of an Hv-semigroup as a g-hypergroupoid.

Convolution semigroups and resolvent families of measures on hypergroups

1985 ◽  
Vol 188 (4) ◽  
pp. 449-474 ◽  
Author(s):  
Walter R. Bloom ◽  
Herbert Heyer
Keyword(s):  
Convolution Semigroups ◽  
Resolvent Families
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