ON HYPERIDEAL STRUCTURE OF TERNARY SEMIHYPERGROUPS

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HILA KOSTAQ; DAVVAZ BIJAN; NAKA KRISANTHI

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Journal Paper

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Journal: Iranian Journal of Mathematical Sciences and Informatics Year:2014 | Volume:9 | Issue:1 Page(s): 81-98

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Information Journal Paper

Title

ON HYPERIDEAL STRUCTURE OF TERNARY SEMIHYPERGROUPS

Author(s)

HILA KOSTAQ | DAVVAZ BIJAN | NAKA KRISANTHI | Issue Writer Certificate

Keywords

SEMIHYPERGROUP

TERNARY SEMIHYPERGROUP

HYPERIDEAL

PRIME LEFT HYPERIDEAL

SEMIPRIME LEFT HYPERIDEAL

IRREDUCIBLE LEFT HYPERIDEAL

HYPERFILTER

LEFT M-SYSTEM

LEFT I-SYSTEM

LEFT P-SYSTEM

Abstract

In this paper, we introduce and study the concepts of prime left, semiprime left and irreducible left HYPERIDEALs in ternary SEMIHYPERGROUPs and investigate some basic properties of them. We introduce the concepts of HYPERFILTER and hypersemilattice congruence of ternary semi- hypergroups. We give some characterizations of HYPERFILTERs in ternary SEMIHYPERGROUPs. Some relationships between HYPERFILTERs, prime hyper- ideals and hypersemilattice congruences in ternary SEMIHYPERGROUPs are considered. We also introduce the notion of HYPERIDEALs extensions in ternary SEMIHYPERGROUPs and some properties of them are investigated.

Cites

M-ARY HYPERVECTOR SPACE: CONVERGENT SEQUENCE AND BUNDLE SUBSETS

References

Cite

APA: Copy

HILA, KOSTAQ, DAVVAZ, BIJAN, & NAKA, KRISANTHI. (2014). ON HYPERIDEAL STRUCTURE OF TERNARY SEMIHYPERGROUPS. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), 9(1), 81-98. SID. https://sid.ir/paper/310373/en

Vancouver: Copy

HILA KOSTAQ, DAVVAZ BIJAN, NAKA KRISANTHI. ON HYPERIDEAL STRUCTURE OF TERNARY SEMIHYPERGROUPS. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI)[Internet]. 2014;9(1):81-98. Available from: https://sid.ir/paper/310373/en

IEEE: Copy

KOSTAQ HILA, BIJAN DAVVAZ, and KRISANTHI NAKA, “ON HYPERIDEAL STRUCTURE OF TERNARY SEMIHYPERGROUPS,” IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), vol. 9, no. 1, pp. 81–98, 2014, [Online]. Available: https://sid.ir/paper/310373/en

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