Regularity in residuated lattices

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Holdon L. C.; BORUMAND SAEID A.

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Journal Paper

Paper Information

Journal: Iranian Journal of Fuzzy Systems Year:2019 | Volume:16 | Issue:6 Page(s): 107-126

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Information Journal Paper

Title

Regularity in residuated lattices

Author(s)

Holdon L. C. | BORUMAND SAEID A. | Issue Writer Certificate

Keywords

(Semi) divisible residuated latticeQ2

Boolean elementQ2

directly indecomposable algebraQ2

free algebrasQ2

Abstract

In this paper, we study residuated lattices in order to give new characterizations for dense, regular and Boolean elements in residuated lattices and investigate special residuated lattices in order to obtain new characterizations for the directly indecomposable subvariety of Stonean residuated lattices. Free algebra in varieties of Stonean residuated lattices is constructed. We introduce in residuated lattice a new type of filter called special filter and investigate its properties. Finally, regular filter property in residuated lattices is introduced and is studied in details.

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APA: Copy

Holdon, L. C., & BORUMAND SAEID, A.. (2019). Regularity in residuated lattices. IRANIAN JOURNAL OF FUZZY SYSTEMS, 16(6 ), 107-126. SID. https://sid.ir/paper/380412/en

Vancouver: Copy

Holdon L. C., BORUMAND SAEID A.. Regularity in residuated lattices. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2019;16(6 ):107-126. Available from: https://sid.ir/paper/380412/en

IEEE: Copy

L. C. Holdon, and A. BORUMAND SAEID, “Regularity in residuated lattices,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 16, no. 6 , pp. 107–126, 2019, [Online]. Available: https://sid.ir/paper/380412/en

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