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A note on multipliers in almost distributive lattices
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The notion of multiplier for an almost distributive lattice is introduced, and some related properties are investigated. Moreover, we introduce a congruence relation $\phi_a$ induced by $a\in L$ on an almost distributive lattice and derive some useful properties of $\phi_a.$
Abstract
The notion of multiplier for an almost distributive lattice is introduced, and some related properties are investigated. Moreover, we introduce a congruence relation $\phi_a$ induced by $a\in L$ on an almost distributive lattice and derive some useful properties of $\phi_a.$
참고문헌 (10)
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- A. Honda, "Entropy of capacities on lattices and set systems", Information Science, 176, pp.3472~3489 (2006)
- F. Karacal, "On the direct decomposability of strong negations and simplication operations on product lattices", Information Science, 176, pp.3011~3025 (2006)
- K. Kaya, "Prime rings with a derivations", Bull. Master. Sci. Eng, 16, pp.63~71 (1987)
- L. Larsen, "An Introduction to the Theory of Multipliers" (1971), Springer-Verlag
- E. C. Posner, "Derivations in prime rings", Proc. Amer. Math. Soc, 8, pp.1093~1100 (1957)
- U. M. Swamy, "Almost Distributive lattices", J. Aust. Math. Soc.(Series A), 31, pp.77~91 (1981)
- X. L. Xin, "On the derivations of lattices", Information Sci., 178(2), pp.307~316 (2008)
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