Articles

*g - CLOSED SETS IN IDEAL TOPOLOGICAL SPACES

Characterizations and properties of I_*g-closed sets and I_*g-open sets are given. A characterization of normal spaces is given in terms of I_*g-open sets.

Also, it is established that an I_*g-closed subset of an I-compact space is I-compact.

O. Ravi

S. Tharmar

M. Sangeetha

J. Antony Rex Rodrigo

A DECOMPOSITION OF (µ,λ) - CONTINUITY IN GENERALIZED TOPOLOGICAL SPACES

In this paper, we introduce and study the notions of ω(µ,λ) -H-continuity and ω^*(µ,λ)-H-continuity in generalized topological spaces. Also, we prove that f: (X,µ) → (Y,λ,H) is (µ,λ)-continuous if and only if it is ω(µ,λ)-H-continuous and ω^*(µ,λ)- H-continuous.

M.Rajamani

V. Inthumathi

R.Ramesh

JJMS, 2013, 6(1), 15-27

ON α*-SETS AND A DECOMPOSITION THEOREM

We define a new family of sets in a space with a weak structure and give a decomposition of (ω,ώ) - continuity, a generalization of a decomposition of continuous functions.

S. Thamaraiselvi

M. Navaneethakrishnan

EXISTENCE RESULTS FOR FRACTIONAL IMPULSIVE

INTEGRO-DIFFERENTIAL EQUATIONS WITH NONLOCAL

CONDITION

This paper is mainly concerned with the existence of solutions of impulsive fractional abstract integro-differential equations in Banach spaces. The results are obtained by using fixed point principles. An example is provided to illustrate the theory.

M.H.M.Rashid

A. Al-Omari

Let R be a ring. Let  M_R be a module with S=End (M_R). The module ^M is called almost Wnil-injective (briefly right AWN-injective ) if, for any 0≠aєN(R), there exists n≥1 and an S-submodule  X_a of M such that n^a≠0 and l_m(r_R(aⁿ)) = Maⁿ ΘX_an as left S-modules .If R_R is almost Wnil-injective , then we call R is right almost Wnil-injective ring . In this paper ,we give some characterization and properties of almost Wnil-injective rings .In particular , Conditions under which right almost Wnil-injective rings are n-regular rings and n-weakly regular rings are given .Also we study rings whose simple singular right R-module are almost Wnil-injective , It is proved that if R is a NCI ring ,MC2 , whose every simple singular R-module is almost Wnil-injective , Then R is reduced .

Raida D. M.

Akram S. M.