ON ENUMERATION OF EL-HYPERSTRUCTURES WITH 2 ELEMENTS

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GHAZAVI S.H.; MIRVAKILI S.

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Journal Paper

Paper Information

Journal: Journal of Mahani Mathematical Research Year:2022 | Volume:11 | Issue:1 Page(s): 145-158

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Title

ON ENUMERATION OF EL-HYPERSTRUCTURES WITH 2 ELEMENTS

Author(s)

GHAZAVI S.H. | MIRVAKILI S. | Issue Writer Certificate

Keywords

Ends lemma

EL-hypergroups

Hv-group

quasi order relation

partially order relation

Abstract

EL-hypergroups were defined by Chvalina 1995. Till now, no exact statistics of EL-hypergroups have been done. Moreover, there is no classification of EL-hypergroups and EL2-hypergroups even over small sets. In this paper we classify all EL-(semi)hypergroups over sets with two elements obtained from quasi ordered semigroups. Also, we charac-terize all quasi ordered Hv-group and then we enumerate the number of EL2-Hv-hypergroups and EL2-hypergroups of order 2.

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APA: Copy

GHAZAVI, S.H., & MIRVAKILI, S.. (2022). ON ENUMERATION OF EL-HYPERSTRUCTURES WITH 2 ELEMENTS. JOURNAL OF MAHANI MATHEMATICAL RESEARCH, 11(1), 145-158. SID. https://sid.ir/paper/983222/en

Vancouver: Copy

GHAZAVI S.H., MIRVAKILI S.. ON ENUMERATION OF EL-HYPERSTRUCTURES WITH 2 ELEMENTS. JOURNAL OF MAHANI MATHEMATICAL RESEARCH[Internet]. 2022;11(1):145-158. Available from: https://sid.ir/paper/983222/en

IEEE: Copy

S.H. GHAZAVI, and S. MIRVAKILI, “ON ENUMERATION OF EL-HYPERSTRUCTURES WITH 2 ELEMENTS,” JOURNAL OF MAHANI MATHEMATICAL RESEARCH, vol. 11, no. 1, pp. 145–158, 2022, [Online]. Available: https://sid.ir/paper/983222/en

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