A note on the congruences of the nakano superlattice and some properties of the associated quotients |
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| Authors: | Ath Kehagias K. Serafimidis M. Konstantinidou |
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| Affiliation: | (1) Division of Mathematics Dept. of Math., Phys. and Comp. Sci., Faculty of Engineering Aristotle Univ. of Thessaloniki, Box 464, 54124 Thessaloniki, Greece |
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| Abstract: | In this paper we explore theNakano superlattice (H, ⊔, ⊓), where ⊔, ⊓ are the Nakanohyperoperations x⊔y={z:x∨z=y∨z=x∨y},x⊓y={z:x∧z=y∧z=x∧y}. In particular, we study the properties of congruences on the Nakano superlattice and the associated quotients. New hyperoperations are introduced on the quotient and their properties studied. |
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| Keywords: | KeywordHeading" >AMS Classification Number 06B99 |
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