BOOLEAN FILTERS IN PSEUDO-COMPLEMENTED ALMOST DISTRIBUTIVE LATTICES

Journal Title: Discussiones Mathematicae - General Algebra and Applications - Year 2015, Vol 35, Issue 2

Abstract

In this paper we have introduced the concept of Boolean filters in a pseudo-complemented Almost Distributive Lattice (pseudo-complemented ADL) and studied their properties. Finally, a Boolean filter is characterized in terms of filter congruences.

Authors and Affiliations

N. Rafi, Ravi Kumar Bandaru, G. C. Rao

Keywords

Related Articles

TRACE INEQUALITIES FOR POSITIVE SEMIDEFINITE MATRICES

Certain trace inequalities for positive definite matrices are generalized for positive semidefinite matrices using the notion of the group generalized inverse.

On the intersection graphs of ideals of direct product of rings

In this paper we first calculate the number of vertices and edges of the intersection graph of ideals of direct product of rings and fields. Then we study Eulerianity and Hamiltonicity in the intersection graph of ideals...

RELATION BETWEEN (FUZZY) GODEL IDEALS AND ¨ (FUZZY) BOOLEAN IDEALS IN BL-ALGEBRAS

In this paper, we study relationships between among (fuzzy) Boolean ideals, (fuzzy) G¨odel ideals, (fuzzy) implicative filters and (fuzzy) Boolean filters in BL-algebras. In [9], there is an example which shows that a G¨...

Idempotent Elements of Weak Projection Generalized Hypersubstitutions

A generalized hypersubstitution of type τ = (ni)i∈I is a mapping σ which maps every operation symbol fi to the term σ(fi) and may not preserve arity. It is the main tool to study strong hyperidentities that are used to c...

APPLICATIONS OF SADDLE-POINT DETERMINANTS

For a given square matrix A ∈ Mn(R) and the vector e ∈ (R)^n of ones denote by (A, e) the matrix  A e e^T 0  This is often called the saddle point matrix and it plays a significant role in several branches of m...

Download PDF file
  • EP ID EP304468
  • DOI -
  • Views 24
  • Downloads 0

How To Cite

N. Rafi, Ravi Kumar Bandaru, G. C. Rao (2015). BOOLEAN FILTERS IN PSEUDO-COMPLEMENTED ALMOST DISTRIBUTIVE LATTICES. Discussiones Mathematicae - General Algebra and Applications, 35(2), -. https://europub.co.uk/articles/-A-304468