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Category: Volume 27

Regular number of subdivision of a graph

M.H. MUDDEBIHAL1, ABDUL GAFFAR2 and SHABBIR AHMED3
1,3Professor, Department of Mathematics, Gulbarga University, Gulbarga, 585 106 Karnataka (India)
2Research Scholar, Department of Mathematics, Gulbarga University, Gulbarga, 585 106 Karnataka (India)
Email: mhmuddebihal@yahoo.co.in,abdul.gaffar1704@yahoo.com,glbhyb09@rediffmail.com

ABSTRACT:

For any (p ,q) graph G,a subdivision graph S(G) is obtained from G by subdividing each edge of G. The regular number of a S(G) is the minimum number of subsets into which the edge set of S(G) should be partitioned so that the subgraph induced by each subset is regular and is denoted by (G) . In this paper some results on regular number of (G) were obtained and expressed in terms of elements of G.

KEYWORDS: subdivision graph


For any (p ,q) graph G,a subdivision graph S(G) is obtained from G by subdividing each edge of G. The regular number of a S(G) is the minimum number of subsets...

Almost relative strongly M –flat modules

M.R.ALONEY and GOVIND SAHU
(Research Scholor) Bhagwant University Ajmer, Raj. (India)

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


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...

On common fixed point theorem in complete metric space for mappings of compatible type γ

R.S. CHANDEL1, UDAY DOLAS2 and RINA TIWARI3
1Department of Mathematics Govt. Geetanjali Girls College, Bhopal, M.P. (India)
2Department of Mathematics Govt. C .S P.G College Sehore (India) udolas@gmail.com
3IES,IPS Academy, Indore, M.P. (India)
E-mail: rina.tiwari71@gmail.com

Email: rs_chandel2009@yahoo.co.in

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.


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.

New Characterizations of T2 Spaces Using Semi Open Set, Feebly Open Set, Regular Semi Open Set, and Other Related Set Subspaces

CHARLES DORSETT
Department of Mathematics, Texas A&M University-Commerce Commerce, Texas 75429 USA

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


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

Pseudo-Weakly-Finitely-Quasi-injective Modules

BIRESH KUMAR GUPTA (Research Scholar)1 and M. R. ALONEY2
1Department of Mathematics, Bhagwant University, Ajmer (Rajasthan) (India)
2Department of Mathematics, TIT, Bhopal (India)

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.


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...

Fuzzy soft hyper K-subalgebra

C. PARAMESWARI
Department of Mathematics, A.P.C. Mahalaxmi College For Women, Thoothukudi-628 002 Tamil Nadu (India)
Email id: parameswari60@gmail.com.

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


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...

Generalized Sasakian Space form Admitting Semi-Symmetric Connection

SAVITHRI SHASHIDHAR and SOMASHEKHARA.G
Department of Mathematics, Bangalore University, Central College Campus, Bengaluru – 560 001 (India)
Department of Mathematics, Acharya Institute of Technology, Bengaluru (India)
E-mail address: savithrishashi@yahoo.co.in E-mail address: somashekhar96@gmail.com

ABSTRACT:

In this paper, we study  ~ curvature tensor in generalised Sasakian space forms with respect to semi-symmetric metric connection  . f , f , f M ~ 3 2 1 We obtain scalar curvature of  ~ -Ricci semi-symmetric . f , f , f M ~
3 2 1 Further we prove that φ-  ~ flat   f , f , f M ~ 1 2 3 and – semi-symmetric   f , f , f M ~ 1 2 3 are η -Einstein

KEYWORDS: Semi-Symmetric Connection


In this paper, we study  ~ curvature tensor in generalised Sasakian space forms with respect to semi-symmetric metric connection  . f , f , f M ~ 3 2 1...

Lattice on Fuzzy Implication

R. GANAPATHYRAMAN
Assistant Professor Department of Mathematics Pachiyappa’s College, Chennai – 600 030 (India)

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.


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...

Steady MHD flow of a Visco-Elastic fluid Through Horizontal Channel Bounded by Horizontal Plates in Porous Medium in Presence of Transverse Magnetic field

HEMENDRA SARMA
Department of Mathematics, Rangia College, Rangia-781354, Assam (India)

E-mail: hemensarma.nlb@gmail.com

ABSTRACT:

The steady laminar flow of an electrically conducting viscoelastic fluid through horizontal channel, bounded by two horizontal plates, lower being a stretching sheet and the upper being permeable plate bounded by porous medium in presence of transverse magnetic field, has been discussed analytically. The expressions for skin-friction coefficient at both the surfaces have been derived and discussed numerically, their values being presented through table.

KEYWORDS: Visco-elastic, MHD, stretching sheet, stretching Reynolds number, Hartmann number, permeable parameter, skin-friction.


The steady laminar flow of an electrically conducting viscoelastic fluid through horizontal channel, bounded by two horizontal plates, lower being a stretching sheet and the upper being permeable plate bounded by porous...

Gprsg-Homeomorphisms and Sggpr-Homeomorphisms In Topological Spaces

MANOJ GARG
Department of Mathematics Nehru (P.G.) College, Chhibramau, Kannauj, U.P. (India)
E-mail: garg_manoj1972@yahoo.co.in

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.


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...