Properties of some ∗-dense-in-itself subsets
نویسندگان
چکیده
-open sets were introduced and studied by Janković and Hamlett (1990) to generalize the well-known Banach category theorem. Quasi-openness was introduced and studied by Abd El-Monsef et al. (2000). These are∗-dense-in-itself sets of the ideal spaces. In this note, properties of these sets are further investigated and characterizations of these sets are given. Also, their relation with -dense sets and -locally closed sets is discussed. Characterizations of completely codense ideals are given in terms of semi-preopen sets.
منابع مشابه
Residuated Skew Lattice with a Operation
In this paper, we define hedge operation on a residuated skew lattice and investigate some its properties. We get relationships between some special sets as dense, nilpotent, idempotent, regular elements sets and their hedges. By examples, we show that hedge of a dense element is not a dense and hedge of a regular element is not a regular. Also hedge of a nilpotent element is a nilpotent and h...
متن کاملAlgebraic Properties of Intuitionistic Fuzzy Residuated Lattices
In this paper, we investigate more relations between the symmetric residuated lattices $L$ with their corresponding intuitionistic fuzzy residuated lattice $tilde{L}$. It is shown that some algebraic structures of $L$ such as Heyting algebra, Glivenko residuated lattice and strict residuated lattice are preserved for $tilde{L}$. Examples are given for those structures that do not remain the sam...
متن کاملOn quasi $P$-spaces and their applications in submaximal and nodec spaces
A topological space is called submaximal if each of its dense subsets is open and is called nodec if each of its nowhere dense ea subsets is closed. Here, we study a variety of spaces some of which have already been studied in $C(X)$. Among them are, most importantly, quasi $P$-spaces and pointwise quasi $P$-spaces. We obtain some new useful topological characterizations of quasi $...
متن کاملDense Subsets in Semigroups
This article covers a theory of dense subsets in general semigroups, including basic algebraic properties of dense and disjunctive subsets, characterizations of dense subset preserving homomorphisms and some remarkable properties of dense elements.
متن کاملSome More Properties of FI and Regular I-Closed Sets in Ideal Topological Spaces
In 1964, Hayashi [8] defined and studied the notions of ?-dense in itself sets and ?-perfect subsets in ideal topological spaces. In 1999, Dontchev et al. [5] have studied the notion of Ideal resolvability through codense and completely codense ideal topological spaces. Recently, in the year 2004, Keskin, Noiri and Yuksel [12] have introduced and studied the concepts of fI -sets and fI -continu...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- Int. J. Math. Mathematical Sciences
دوره 2004 شماره
صفحات -
تاریخ انتشار 2004