Results 11 to 20 of about 307 (242)

𝒩 -Prime Spectrum of Stone Almost Distributive Lattices

Discussiones Mathematicae - General Algebra and Applications, 2021
Introduced the notions of annulets and 𝒩 -filters in stone Almost Distributive Lattices and investigated their properties. Utilized annulets to characterize the 𝒩 -filters.
Rafi N., Bandaru Ravi Kumar, Srujana M.
doaj   +2 more sources

Formalization of Generalized Almost Distributive Lattices [PDF]

Formalized Mathematics, 2014
Summary Almost Distributive Lattices (ADL) are structures defined by Swamy and Rao [14] as a common abstraction of some generalizations of the Boolean algebra. In our paper, we deal with a certain further generalization of ADLs, namely the Generalized Almost Distributive Lattices (GADL). Our main aim was to give the formal counterpart
Grabowski, Adam
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Generalized Almost Distributive Fuzzy Lattices

International Journal of Computing Science and Applied Mathematics, 2017
In this paper we introduce the concept of a Generalized almost distributive fuzzy lattices (GADFLs) as a generalization of an Almost distributive fuzzy lattices(ADFLs). Again, we also show that a necessary and sufficient conditions for a GADFLs to become a distributive fuzzy lattices and a GADFLs to become an ADFLs.
Berhanu Assaye Alaba, Yohannes Gedamu Wondifraw   +1 more
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Heyting Almost Distributive fuzzy Lattices

International Journal of Computing Science and Applied Mathematics, 2018
In this paper, we introduce the concept of Heyting almost distributive fuzzy lattices (HADFL) using the concepts of Heyting almost distributive lattices (HADL), almost distributive fuzzy lattices, fuzzy partial order relation and fuzzy Heyting algebra. Using the properties of fuzzy Heyting algebra, we also give a necessary and sufficient condition for ...
Berhanu Assaye Alaba, Derebew Nigussie Derso   +1 more
openaire   +3 more sources

On Prime E-ideals of Almost Distributive Lattices

International Journal of Analysis and Applications, 2023
In an almost distributive lattice (ADL), the idea of E-ideals is introduced, and their properties are discussed. In terms of a congruence, an equivalence is established between the minimal prime Eideals of an ADL and its quotient ADL.
N. Rafi, Y. Monikarchana, Ravikumar Bandaru, Aiyared Iampan   +3 more
doaj   +1 more source

The space of minimal prime D−filters of Almost Distributive Lattices

Discussiones Mathematicae - General Algebra and Applications
The concept of $D$-filters is introduced in an Almost Distributive Lattice (ADL) and studied their properties. An equivalency is established between the minimal prime $D$-filters of an ADL and its quotient ADL with respect to a congruence.
Noorbhasha Rafi, Pavuluri Vijaya Saradhi, Mothukuri Balaiah   +2 more
doaj   +2 more sources

Almost distributive lattices [PDF]

Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1981
AbstractThe concept of ‘Almost Distributive Lattices’ (ADL) is introduced. This class of ADLs includes almost all the existing ring theoretic generalisations of a Boolean ring (algebra) like regular rings, P-rings, biregular rings, associate rings, P1-rings, triple systems, etc. This class also includes the class of Baer-Stone semigroups.
Swamy, U. Maddana, Rao, G. C.
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Weak LI-ideals in implicative almost distributive lattices

, 2021
In the field of many valued logic, lattice valued logic (especially ideals) plays an important role. Nowadays, lattice valued logic is becoming a research area. Researchers introduced weak LI-ideals of lattice implication algebra.
Munie, Tilahun Mekonnen
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Uniqueness Theorem in Complete Residuated Almost Distributive Lattices

Discussiones Mathematicae - General Algebra and Applications, 2019
Important properties of primary elements in a complete residuated ADL L and the uniqueness theorem in a complete complemented residuated ADL L are proved.
Rao G.C., Raju S.S.
doaj   +1 more source

An equational axiomatization of Post Almost Distributive Lattices

, 2016
In this paper, we prove that the class of P₂-Almost Distributive Lattices and Post Almost Distributive Lattices are equationally ...
Kakumanu, Naveen, Shum, Kar
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