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G+-algebra, Filters and Upper sets |
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PP: 2131-2136 |
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doi:10.18576/amis/100616
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Author(s) |
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Deena S. Al-Kadi,
Rodyna A. Hosny,
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Abstract |
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| In this paper, a new notion named G+-algebra is introduced as a dual G-algebra. Then the relation between G+-algebra
with number of abstract algebras including dual BCK-algebra, implication algebra, BE-algebra and J-algebra is investigated and some
properties of G+-algebra are studied. Moreover, a binary relation on G+-algebra is defined and proved that it forms a partially ordered
relation. Finally, considering G+-algebra, filters and upper sets are studied and related properties are discussed providing an equivalent
condition of a filter and finding the relation between filters and upper sets. |
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