Zobrazeno 1 - 10
of 49
pro vyhledávání: '"O. A. S. Karamzadeh"'
Publikováno v:
Applied General Topology, Vol 16, Iss 2, Pp 183-207 (2015)
Let $C_c(X)=\{f\in C(X) : |f(X)|\leq \aleph_0\}$, $C^F(X)=\{f\in C(X): |f(X)|
Externí odkaz:
https://doaj.org/article/72b35701d8fc45479b0e412df41eb50b
Autor:
O. A. S. Karamzadeh
Publikováno v:
The Mathematical Intelligencer. 43:76-78
Autor:
O. A. S. Karamzadeh
Publikováno v:
The Mathematical Intelligencer. 43:3-4
Publikováno v:
Bulletin of the Iranian Mathematical Society. 45:173-187
Let $$C_c(X)$$ (resp. $$C^F(X)$$ ) denote the subring of $$C(X)$$ consisting of functions with countable (resp. finite) image and $$C_F(X)$$ be the socle of $$C(X)$$ . We characterize spaces X with $$C^*(X)=C_c(X)$$ , which generalizes a celebrated r
Autor:
O. A. S. Karamzadeh, N. Nazari
Publikováno v:
Communications in Algebra. 46:5083-5115
We observe that every non-commutative unital ring has at least three maximal commutative subrings. In particular, non-commutative rings (resp., finite non-commutative rings) in which there are exac...
Autor:
O. A. S. Karamzadeh, Z. Keshtkar
Publikováno v:
Quaestiones Mathematicae. 41:1135-1167
The c-realcompact spaces are fully studied and most of the important and well-known properties of realcompact spaces are extended to these spaces. For a zero-dimensional space X, the space υ0X, whi...
Publikováno v:
Mathematica Slovaca. 67:1001-1010
We introduce and study the concept of the super socle of C(X), denoted by SCF (X) (i.e., the set of elements of C(X), which are zero everywhere except on a countable number of points of X). Using this concept we extend some of the basic results conce
Autor:
O. A. S. Karamzadeh, M. Davoudian
Publikováno v:
Communications in Algebra. 44:3907-3917
We introduce and study the concept of dual perfect dimension which is a Krull-like dimension extension of the concept of acc on finitely generated submodules. We observe some basic facts for modules with this dimension, which are similar to the basic
Publikováno v:
Quaestiones Mathematicae. 38:139-154
It is observed that X is an F-space if and only if C(X) is locally a domain (i.e., C(X)P is a domain for each prime ideal P of C(X)). Consequently, X is an F-space if and only if the primary ideals of C(X) in any given maximal ideal in C(X) are compa
Autor:
O. A. S. Karamzadeh
Publikováno v:
The Mathematical Intelligencer. 36:4-7