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Category: Issue 1

Vertex-edge Matrix of fuzzy Graphs

W.B. VASANTHA KANDASAMY and REGIN THANGARAJ
Department of Mathematics Indian Institute of Technology, Madras Chennai – 600 036 (India)

ABSTRACT:

In this paper for the first time two new notions in fuzzy graphs viz., vertex-edge matrix (v-e matrix) of a fuzzy graph and
dominant fuzzy graph graphs are introduced. Several properties enjoyed by them are enumerated. Some interesting results in this direction is obtained.

KEYWORDS: Fuzzy graphs, dominant fuzzy graphs, strict fuzzy graphs, vertex-edge matrix (v-e matrix) of a fuzzy graph.


In this paper for the first time two new notions in fuzzy graphs viz., vertex-edge matrix (v-e matrix) of a fuzzy graph and dominant fuzzy graph graphs are introduced. Several...

Special Elements In Semigroups

K. JAYSHREE and P. GAJIVARADHAN
Department of Mathematics, Pachaiyappa’s College, Chennai – 600 030 (India)

ABSTRACT:

This paper defines the notion of special elements like Smarandache zero divisors, Smarandache units, Smarandache
idempotents and Smarandache nilpotnents for semigroups. This is the first time such study has been carried out on semigroups

KEYWORDS: Smarandache zero divisors, Smarandache units, Smarandache idempotents and Smarandache nilpotnents.


This paper defines the notion of special elements like Smarandache zero divisors, Smarandache units, Smarandache idempotents and Smarandache nilpotnents for semigroups. This is the first time such study has been carried...

Study of Semigroup Semirings Using chain lattices as Semirings

K. JAYSHREE and P. GAJIVARADHAN
Department of Mathematics, Pachaiyappa’s College, Chennai – 600 030 (India)

ABSTRACT:

In this paper we study semigroup semirings using chain lattices as semirings. Such study is new and innovative. Condition for these semigroup semirings to contain special elements like zero divisors, units and idempotents are obtained.

KEYWORDS: Semigroup semirings, Chain lattices, symmetric semigroup, zero divisors.


In this paper we study semigroup semirings using chain lattices as semirings. Such study is new and innovative. Condition for these semigroup semirings to contain special elements like zero divisors, units and...

n 0g S*- Homeomorphism In Topological Spaces

1MANOJ GARG and 2SHIKHA AGARWAL
1Department of Mathematics, Nehru P. G. College, Chhibramau, Kannauj, U.P. (India)
2Department of Mathematics, SCRIET, C.C.S. University, U.P. (India)
E-mail: manojshikha@rediffmail.com E-mail: garg_manoj1972@yahoo.co.in

ABSTRACT:

In this paper we introduce a new class of closed maps namely 0g s-closed maps also introduce a new class of homeomorphisms called 0g s*-homeomorphisms. Further we show that the set of all 0g s*- homeomorphisms form a group under the operation composition of maps.

KEYWORDS: 0g s-closed maps; 0g s*-closed maps; 0g s-homeomorphisms; 0g s*-homeomorphisms.


In this paper we introduce a new class of closed maps namely 0g s-closed maps also introduce a new class of homeomorphisms called 0g s*-homeomorphisms. Further we show that the set of all...

Contra g-Closed and Almost Contra g-Closed Mappings

S. BALASUBRAMANIAN1 and CH. CHAITANYA2
1Department of Mathematics, Government Arts College(A), Karur – 639 005, Tamilnadu (India)
2Department of Mathematics, Krishnaveni Engineering College for Women, Narasaraopet – 522 601, An0dhrapradesh (India)
E.mail: mani55682@rediffmail.com E.mail: chennupatichaitanya2@gmail.com

ABSTRACT:

The aim of this paper is to introduce and study the concepts ofcontra g-closed and almost contra g-closed mappings and the interrelationship between other contra-closed maps

KEYWORDS: g-open set, g-open map, g-closed map, contraclosed map, contra -open map, contra -closed map, contra g-closed map and almost contra g-closed map . AMS Classification: 54C10, 54C08, 54C05


The aim of this paper is to introduce and study the concepts ofcontra g-closed and almost contra g-closed mappings and the interrelationship between other contra-closed maps