Category: Issue 1

ABSTRACT:

Throughout this paper we have defined a new concept of almost
strongly M-flat modules11 and we are motivated10. And given several
properties of them13. This paper concept introduced as a generalization
of flat modules.
There are two part in discussion
In first part we study Almost strongly M-flat modules and in
second section we study about the homomorphism
( , )→ ( )
Where A is an R-algebra, XJ and NJ is R-modules.
And last result we prove M be almost strongly M-flat modules
then following statement are equivalent.
a) Any finitely generated ideal I is almost M-projective
b) Every submodule of M is almost strongly M-flat modules.
c) Every flat module is almost strongly M-flat module.

KEYWORDS: Flat, module, sub- module, strongly injective and projective, strongly projective, annihilator, exact sequence, homomorphism, epimorphism, finitely generated

ABSTRACT:

In this paper we prove a unique common fixed point theorem for pair of self-mappings of weakly compatible maps in a complete metric space for mappings satisfying compatibility of type γ.

KEYWORDS: Common fixed point, complete metric space, Compatible maps and weakly compatible maps. Subject classification: 47H10, 54H25.

ABSTRACT:

Within this paper, T2 spaces are further characterized using semi open set, feebly open set, regular semi open set, and other related set subspaces.

KEYWORDS: T2 spaces, semi open sets, feebly open sets, subspaces. AMS Subject Classification: 54A05, 54B05, and 54D10

ABSTRACT:

In this paper, we generalize the concepts of pseudo weaklyinjective (PW-injective for short) modules and weakly-finitely-quasiinjective (WFQ-injective for short) modules to pseudo-weakly-finitelyquasi- injective (PWFQ-injective for short) modules. Our main goal in this work is to study the basic properties of these concepts, characterizations of pseudo-weakly-finitely-quasi-injective modules

KEYWORDS: injective hull E(M), Pseudo-injective, Endomorphism ring, PW-injective modules, WFQ–injective modules, PWFQ-injective modules.

ABSTRACT:

In this paper, the notion of fuzzy soft hyper K-subalgebra is given and the level subset, union, intersection & some basic results of fuzzy hyper K-subalgebra are studied. We also state a characterization for a fuzzy soft hyper K-subalgebra in terms of iths level hyper Ksubalgebra.

KEYWORDS: Fuzzy soft hyper K-algebra, Levelset

ABSTRACT:

In this paper we present some Boolean algebras in the form of lattice by using the fuzzy implication. We show that these methods lead to various and much richer algebraic structures on the set of all fuzzy implications than obtained in the literature.

KEYWORDS: Fuzzy logic connectives, Fuzzy implication, Algebras, Lattice.

ABSTRACT:

In the present paper we introduce two new types of mappings called gprsg-homeomorphism and sggpr-homeomorphism and then shown that one of these mapping has a group structure. Further we investigate some properties of these two homeomorphisms.

KEYWORDS: Homeomorphism; gprsg-homeomorphism; sggprhomeomorphism.

ABSTRACT:

In this article we study symmetries of plane figures. We start with the definition of isometry of a metric space. For the better understanding of all the isometries of R2, we present the known results in form of a flow chart. And then using this idea of isometry, we define symmetry group of a subset of R2. With the use of this definition we determine symmetry groups of the capital Alphabets of English. We also describe the symmetry group of a regular n-gon which is known as
Dn. We also describe subsets of R2 where symmetry group is the cyclic group of order n which is denoted usually by Cn

KEYWORDS: Symmetry, Isometry. AMS subject classification: 52B15

ABSTRACT:

In this paper we have proved a theorem on the harmonic summability of double Fourier series, which generalizes various known results.

KEYWORDS: Harmonic summability, Double Fourier series. 2000 Mathematics subject classification : 40D05, 40E05, 40F05, 40G05, 42C05 and 42C10.