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Category: Volume 27

New Class of n-ary Semilattices And Their Properties

M. REEHANA PARVEEN1 and P. SEKAR2
1Dept of Mathematics, Justice Baheer Ahmed Sayeed College, Chennai (India)
2Principal, Kandasamy Naidu College, Chennai (India)

ABSTRACT:

In this paper for the first time we define the new notion of n-ary semilattices under the intersection operation. Several new notions likes pseudo buds and uniform t-length n-ary semilattices are introduced and their properties analysed.

KEYWORDS: n-ary semilattice, uniform t-length n-ary semilattice, pseudo buds.


In this paper for the first time we define the new notion of n-ary semilattices under the intersection operation. Several new notions likes pseudo buds and uniform t-length n-ary semilattices are...

Merging of Semilattices and their Special Properties

M. REEHANA PARVEEN1 and P. SEKAR2
1Department of Mathematics, Justice Baheer Ahmed Sayeed College, Chennai (India)
2Principal, Kandasamy Naidu College, Chennai (India)

ABSTRACT:

In this paper for the first time authors define the new notion of merging of semilattices. The properties of merged semilattices is studied and several interesting results are proved in this direction.

KEYWORDS: semilattice, pseudo semilattice, pseudo atoms, pseudo buds, symmetric lattice, n-ary semilattice


In this paper for the first time authors define the new notion of merging of semilattices. The properties of merged semilattices is studied and several interesting results are proved in this...

A New Type of Closed Sets in Bitopological Spaces

MANOJ GARG and SHAILENDRA SINGH RATHORE
P.G. Department of Mathematics, Nehru P. G. College, Chhibramau, Kannauj, U.P. (India)
E-mail: garg_manoj1972@yahoo.co.in Email: ssrathore.ait@gmail.com

ABSTRACT:

In this paper, we introduce g -closed sets19 in bitopological spaces. Properties of these sets are investigated and we introduce the two new bitopoligical spaces (i, j)- T and (i, j)- T* spaces as applications. Further we introduce and study g -continuity19 in bitopological spaces.

KEYWORDS: (i, j)- g -closed sets; (i, j)- T spaces; (i, j)- T* spaces; D (i, j)-continuity.


In this paper, we introduce g -closed sets19 in bitopological spaces. Properties of these sets are investigated and we introduce the two new bitopoligical spaces (i, j)- T and (i, j)-...

Matrix Groupoids

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

ABSTRACT:

In this paper for the first time groupoid matrix are introduced and their properties are analysed. A matrix groupoid or a groupoid matrix is a collection of p × q matrices with entries from a groupoid (G, *) where groupoid matrix inherits the operation of G. Clearly groupoid matrix are non associative groupoids of finite order.

KEYWORDS: Groupoid matrix, Groupoid, matrix groupoid, pseudo nilpotent, pseudo zero divisors.


In this paper for the first time groupoid matrix are introduced and their properties are analysed. A matrix groupoid or a groupoid matrix is a collection of p × q matrices...

On Quasi Umbilical Submanifold of CO-Dimension -2 of Almost Hyperbolic Manfold

B.B. PANDEY and S.B. PANDEY
Department of Mathematics, Kumaun University Soban Singh Jeena campus, Almora (Uttarakhand) (India)

ABSTRACT:

Hypersurfaces immersed in an almost hyperbolic Hermitian manifold studied by Dube and Mishra3. Almost hyperbolic hermite manifold have been studied by Dube2. Hypersurfaces of almost hyperbolic Hermitian manifold I,II ,have been studies by Bhatt and Dube1. The purpose of the present paper is to study the Quasi – Umbilical submanifold of co-dimension -2 of an almost hyperbolic manifold. We have obtained the condition for this submanifold, to be W –Quasi umbilic

KEYWORDS: hyperbolic Hermitian


Hypersurfaces immersed in an almost hyperbolic Hermitian manifold studied by Dube and Mishra3. Almost hyperbolic hermite manifold have been studied by Dube2. Hypersurfaces of almost hyperbolic Hermitian manifold I,II ,have been studies...

Generalization of Fibonacci Sequence in Case of Multiplicative Coupled Fibonacci Sequences

SANJAY HARNE1 and MANJEET SINGH TEETH2
1Government College, Mandeleshwar, M.P. (India)
2M.B. Khalsa College, Indore, M.P. (India)

ABSTRACT:

In this paper we generalize the Fibonacci sequence in case multiplicative coupled Fibonacci sequence. We consider two infinite sequences  ii 0  and   i i 0 which have given eight initial values and we derive new identities.

KEYWORDS: Fibonacci sequence.


In this paper we generalize the Fibonacci sequence in case multiplicative coupled Fibonacci sequence. We consider two infinite sequences  ii 0  and   i i 0 which have...