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Paper Information

Journal:   IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI)   2014 , Volume 9 , Number 1; Page(s) 81 To 98.
 
Paper: 

ON HYPERIDEAL STRUCTURE OF TERNARY SEMIHYPERGROUPS

 
 
Author(s):  HILA KOSTAQ, DAVVAZ BIJAN*, NAKA KRISANTHI
 
* DEPARTMENT OF MATHEMATICS, YAZD UNIVERSITY, YAZD, IRAN
 
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.

 
Keyword(s): SEMIHYPERGROUP, TERNARY SEMIHYPERGROUP, HYPERIDEAL, PRIME LEFT HYPERIDEAL, SEMIPRIME LEFT HYPERIDEAL, IRREDUCIBLE LEFT HYPERIDEAL, HYPERFILTER, LEFT M-SYSTEM, LEFT I-SYSTEM, LEFT P-SYSTEM
 
 
References: 
 
Click to Cite.
APA: Copy

HILA, K., & DAVVAZ, B., & NAKA, K. (2014). ON HYPERIDEAL STRUCTURE OF TERNARY SEMIHYPERGROUPS. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), 9(1), 81-98. https://www.sid.ir/en/journal/ViewPaper.aspx?id=402244



Vancouver: Copy

HILA KOSTAQ, DAVVAZ BIJAN, NAKA KRISANTHI. ON HYPERIDEAL STRUCTURE OF TERNARY SEMIHYPERGROUPS. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI). 2014 [cited 2021May11];9(1):81-98. Available from: https://www.sid.ir/en/journal/ViewPaper.aspx?id=402244



IEEE: Copy

HILA, K., DAVVAZ, B., NAKA, K., 2014. ON HYPERIDEAL STRUCTURE OF TERNARY SEMIHYPERGROUPS. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), [online] 9(1), pp.81-98. Available: https://www.sid.ir/en/journal/ViewPaper.aspx?id=402244.



 
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