ON SOFT REGULARITY

Soft Regularity and Normality based on Semi Open Soft Sets and Soft Ideals

Shabir and Naz in [27] introduced the notion of soft topological spaces. They defined soft topology on the collection τ of soft sets over X . Consequently, they defined soft separation axioms, soft regular spaces and soft normal spaces and established their several properties. Min in [30] investigate some properties of these soft separation axioms. Kandil et al. [12] introduce the notion of sof...

On Regularity of Acts

In this article we give a characterization of monoids for which torsion freeness, ((principal) weak, strong) flatness, equalizer flatness or Condition (E) of finitely generated and (mono) cyclic acts and Condition (P) of finitely generated and cyclic acts implies regularity. A characterization of monoids for which all (finitely generated, (mono) cyclic acts are regular will be given too. We als...

Extension on Regularity Condition in DEA Models

ON SOFT ULTRAFILTERS

In this paper, the concept of soft ultrafilters is introduced and some of the related structures such as soft Stone-Cech compactification, principal soft ultrafilters and basis for its topology are studied.

On Maximal L-regularity

The aim of this paper is to propose weak assumptions to prove maximal L q regularity for Cauchy problem : du dt (t) − Lu(t) = f (t). Mainly we only require " off-diagonal " estimates on the real semigroup (e tL) t>0 to obtain maximal L q regularity. The main idea is to use a one kind of Hardy space H 1 adapted to this problem and then use interpolation results. These techniques permit us to pro...