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SM ISO690:2012 BORZOOEI, Rajab Ali, NIAZIAN, Soghol. Fundamental residuated lattices. In: Quasigroups and Related Systems, 2014, vol. 22, nr. 2(32), pp. 179-192. ISSN 1561-2848. |
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Quasigroups and Related Systems | ||||||
Volumul 22, Numărul 2(32) / 2014 / ISSN 1561-2848 | ||||||
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Pag. 179-192 | ||||||
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For any countable set X , we construct a residuated lattice and a weak hyp er residuated lattice on X . Next, using the notion of (strongly) regular relation we construct the corresp onding quotient weak hyp er residuated lattice. Finally, by considering the fundamental relation we de ne the fundamental residuated lattice and we show that any residuated lattice is a fundamental residuated lattice. |
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