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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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.

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

On $a$ -Kasch spaces