منابع مشابه
A Note on Some Strongly Sequence Spaces
and Applied Analysis 3 P:4 p x y ≤ p x p y , for all x, y ∈ X triangle inequality , P:5 if λn is a sequence of scalars, with λn → λ n → ∞ , and xn is a sequence of vectors with p xn −x → 0 n → ∞ , then p λnxn −λx → 0 n → ∞ continuity of multiplication by scalars . A complete linear metric space is said to be a Fréchet space. A Fréchet sequence space X is said to be an FK space, if its metric is...
متن کاملNote on regular and coregular sequences
Let R be a commutative Noetherian ring and let M be a nitely generated R-module. If I is an ideal of R generated by M-regular sequence, then we study the vanishing of the rst Tor functors. Moreover, for Artinian modules and coregular sequences we examine the vanishing of the rst Ext functors.
متن کاملA note on semi-regular locales
Semi-regular locales are extensions of the classical semiregular spaces. We investigate the conditions such that semi-regularization is a functor. We also investigate the conditions such that semi-regularization is a reflection or coreflection.
متن کاملA Note on Sequence-covering Images of Metric Spaces
In this brief note, we prove that every space is a sequence-covering image of a topological sum of convergent sequences. As the application of this result, sequence-covering images of locally compact metric spaces (or, locally separable metric spaces, metric spaces) and sequentially-quotient images of a locally compact metric spaces (or, locally separable metric spaces, metric spaces) are equiv...
متن کاملMore on Regular Linear Spaces
A linear space is a point line incidence geometry with the property that every pair of points is on exactly one line and every line has at least two points. We consider finite linear spaces, i.e. linear spaces with a finite number of points. In [2], the current authors enumerated all linear spaces of order at most 12. More specific types of linear spaces have also been studied. We denote the se...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of the Mathematical Society of Japan
سال: 1965
ISSN: 0025-5645
DOI: 10.2969/jmsj/01740409