On almost discrete space

Ali Akbar Estaji

Displaying similar documents to “On almost discrete space”

Some cancellation ideal rings.

Chaopraknoi, Sureeporn, Savettaseranee, Knograt, Lertwichitsilp, Patcharee (2005)

General Mathematics

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Ideal theory in the ternary semiring $ℤ_{0}^{-}$ .

Kar, S. (2011)

Bulletin of the Malaysian Mathematical Sciences Society. Second Series

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Two-generated ideals of linear type.

Kulosman, H. (2009)

Acta Mathematica Universitatis Comenianae. New Series

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On $a$ -Kasch spaces

Ali Akbar Estaji, Melvin Henriksen (2010)

Archivum Mathematicum

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If $X$ is a Tychonoff space, $C (X)$ its ring of real-valued continuous functions. In this paper, we study non-essential ideals in $C (X)$ . Let $a$ be a infinite cardinal, then $X$ is called $a$ -Kasch (resp. $\bar{a}$ -Kasch) space if given any ideal (resp. $z$ -ideal) $I$ with $gen (I) < a$ then $I$ is a non-essential ideal. We show that $X$ is an $ℵ_{0}$ -Kasch space if and only if $X$ is an almost $P$ -space and $X$ is an $ℵ_{1}$ -Kasch space if and only if $X$ is a pseudocompact and almost $P$ -space. Let $C_{F} (X)$ denote the socle of $C (X)$ . For a topological space...

Multiplication modules and homogeneous idealization.

Ali, Majid M. (2006)

Beiträge zur Algebra und Geometrie

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A generalization of normal spaces

V. Renuka Devi, D. Sivaraj (2008)

Archivum Mathematicum

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A new class of spaces which contains the class of all normal spaces is defined and its characterization and properties are discussed.

Displaying similar documents to “On almost discrete space”

Some cancellation ideal rings.

Ideal theory in the ternary semiring ℤ 0 - .

Two-generated ideals of linear type.

On a -Kasch spaces

Multiplication modules and homogeneous idealization.

A generalization of normal spaces

Ideal theory in the ternary semiring $ℤ_{0}^{-}$ .

On $a$ -Kasch spaces