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Computation in Algebraic Hyperstructures
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DOI：10.3390/computation13110261.png)
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摘要
En 中文
The concept of the relation beta plays a central role in the study of hypercompositional structures. In this paper, we extend the definition of beta to the general framework of hypergroupoids and develop an algorithm to compute its elements and its transitive closure beta star. We then apply this algorithm to determine the beta-class of partial identities in a hypergroup, a process equivalent to computing the heart of the given algebraic structure. Furthermore, we propose a more general algorithm that is also applicable to the case of Hv-groups. By extracting the quotient set with respect to beta star and endowing it with an appropriate group structure, we obtain the so-called fundamental group. The identity of this fundamental group can then be computed directly, yielding the heart of the structure.
Keyword:
fundamental relation
semihypergroup
hypergroup
Hv-semigroup
Hv-group
heart
algorithms
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期刊
C
IF:
1.9
论文数:
197
被引数:
1.9K
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