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'e notion of an Almost Distributive Lattice (ADL) is a common abstraction of several lattice theoretic and ring theoretic generalizations of Boolean algebra and Boolean rings. In this paper, the set of all L-fuzzy prime ideals of an ADL with truth values in a complete lattice L satisfying the infinite meet distributive law is topologized and the resulting space is discussed (1)
(e purpose of this paper is to study α-ideals in a more general context, in universal algebras having a constant 0. Several characterizations are obtained for an ideal I of an algebra A to be an α-ideal. It is shown that the class of all α-ideals of an algebra A forms an algebraic lattice. Prime α-ideals and several related properties are investigated. Some properties of the spectral space of prime α-ideals equipped with the hull-kernel topology are derived (1)
-fuzzy ideal, Almost Distributive Lattice (ADL), Complete lattice, In nite meet distributivity. Corresponding Author: Ch. Santhi Sundar Raj (santhisundarraj@yahoo.com) (1)
-ideal, Fuzzy ideal, Fuzzy lter, -fuzzy ideal. Corresponding Author: Wondwosen Zemene Norahun (wondie1976@gmail.com) (1)
A SEMINAR SUBMITTED TO UNIVERSITY OF GONDER, DEPARTEMENT OF MATHEMATICS IN PARTIAL FULFILLMENT OF THE REQUIREMENT FOR THE DEGREE OF MASTER OF SCIENCE IN MATHEMATICS (1)
A Thesis Submitted to the College of Natural and Computational Science Department of Physics in Partial Fulfilment of the Requirement for the Degree of Master of Science in Physics (Medical Physics) (1)
A THESIS SUBMITTED TO THE DEPARTMENT OF PHYSICS OF UNIVERSITY OF GONDAR IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE DEGREE OF MASTER OF SCIENCE IN EXPLORATION GEOPHYSICS (1)
A thesis submitted to the Department of Physics of University of Gondar in partial fulfillment of the requirements for the degree of Master of Science in Exploration Geophysics (1)
Abstract. In this paper we give several characterizations for fuzzy ideals, fuzzy homomorphisms, and fuzzy congruences of an almost dis- tributive lattice. In addition, the quotient of an almost distributive lattice induced by a fuzzy congruence is also presented in the paper. Furthermore, we obtain a kind of fuzzy congruences for which their quotient is a distribu- tive lattice and for which it is not. Mainly, we construct a monomorphism of the lattice of fuzzy ideals into the lattice of fuzzy congruences of almost Boolean rings, and we give a necessary and su cient condition for this monomorphism to become a lattice isomorphism. 2010 AMS Classi cation: 06D72, 06F15, 08A72 Keywords: ADLs, Fuzzy ideals, Fuzzy homomorphisms, Fuzzy congruences. (1)
Abstract. In this paper we introduce the notion of a fuzzy kernel of a fuzzy homomorphism on groups and we show that it is a fuzzy normal subgroup of the domain group. Conversely, we also prove that any fuzzy normal subgroup is a fuzzy kernel of some fuzzy epimorphism, namely the canonical fuzzy epimorphism. Finally, we formulate and prove the fuzzy version of the fundamental theorem of homomorphism and those isomorphism theorems. (1)

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