LATTICES, HYPERGROUPS AND JOIN SPACES

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YAVARI MORTEZA; ASHRAFI A.R.

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Journal: JOURNAL OF SCIENCES (ISLAMIC AZAD UNIVERSITY) Year:2009 | Volume:18 | Issue:70/2 (MATHEMATICS ISSUE) Page(s): 23-28

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Information Journal Paper

Title

LATTICES, HYPERGROUPS AND JOIN SPACES

Author(s)

YAVARI MORTEZA | ASHRAFI A.R. | Issue Writer Certificate

Keywords

LATTICEQ2

HYPERGROUPQ2

JOIN SPACEQ2

HNQ3

SANS-SERIF">Q3

SANS-SERIF"> - GROUPQ3

PARTITIONQ3

Abstract

Let L be a bounded LATTICE and ¦: G ® L be a function. We define the hyperoperation o on G for all a,b Î G as follows:a o b = {g Î G | ¦(a) Ù ¦(b) £ ¦(g)}.We prove that if G be a subLATTICE of L then (G,o) is a JOIN SPACE. Also, we prove that, if A be an abelian group, s: G ® A be a function and the image of G be a closed subset of A then (G,o) is a JOIN SPACE. In whicha o b = {g Î G | s(g) = s(a)s(b)}.Mathematics Subject Classification: 20N20

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APA: Copy

YAVARI, MORTEZA, & ASHRAFI, A.R.. (2009). LATTICES, HYPERGROUPS AND JOIN SPACES. JOURNAL OF SCIENCES (ISLAMIC AZAD UNIVERSITY), 18(70/2 (MATHEMATICS ISSUE)), 23-28. SID. https://sid.ir/paper/70592/en

Vancouver: Copy

YAVARI MORTEZA, ASHRAFI A.R.. LATTICES, HYPERGROUPS AND JOIN SPACES. JOURNAL OF SCIENCES (ISLAMIC AZAD UNIVERSITY)[Internet]. 2009;18(70/2 (MATHEMATICS ISSUE)):23-28. Available from: https://sid.ir/paper/70592/en

IEEE: Copy

MORTEZA YAVARI, and A.R. ASHRAFI, “LATTICES, HYPERGROUPS AND JOIN SPACES,” JOURNAL OF SCIENCES (ISLAMIC AZAD UNIVERSITY), vol. 18, no. 70/2 (MATHEMATICS ISSUE), pp. 23–28, 2009, [Online]. Available: https://sid.ir/paper/70592/en

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