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UNIFORM TOPOLOGY ON DIFFERENCE ALGEBRAS
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 Title & Authors
UNIFORM TOPOLOGY ON DIFFERENCE ALGEBRAS
SAEID, ARSHAM BORUMAND;
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 Abstract
In this paper, we consider a collection of ideals of a difference algebra X. We use the concept of congruence relation with respect to ideals to construct a uniformity that induces a topology on X which makes this to a topological difference algebras. We study the properties of this topology regarding different ideals.
 Keywords
uniformity;difference algebra;ideals;topological difference algebra;
 Language
English
 Cited by
 References
1.
G. Birkhoff, Lattice Theory, New York, 1940

2.
F. Hausdorff, Grunzunge de Mengenlehhre, Lepzing, 1914

3.
Y. Imai and K. Iseki, On axiom systems of propositional calculi, XIV Proc. Japan Academy, 42 (1966), 19-22

4.
I. M. James, Introduction to Uniform Spaces, Cambridge University Press, New York, 1990

5.
K. D. Joshi, Introduction to General Topology, New Age International Publisher, India, 1997

6.
W. Page, Topological Uniform Structures, Dover Publication, Inc. New York, 1988

7.
J. Meng, difference algebras, Selected paper on BCK and BCI-algebras 1 (1992), 33-39

8.
E. H. Roh, Y. B. Jun, S. Y. Kim, and W. H. Shim, On difference algebras, Kyungpook Math. J. 43 (2003), 407-414