On ideals, filters and congruences in inclines

Wei Yao; Song-Chol Han

doi:10.4134/BKMS.2009.46.3.591

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Bull. Korean Math. Soc. 2009; 46(3): 591-598

Printed May 1, 2009

https://doi.org/10.4134/BKMS.2009.46.3.591

On ideals, filters and congruences in inclines

Wei Yao and Song-Chol Han

Hebei University of Science and Technology and Kim Il Sung University

Abstract

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Abstract

This paper studies the relations between ideals, filters, regular congruences and normal congruences in inclines. It is shown that for any incline, there are a one-to-one correspondence between all ideals and all regular congruences and a one-to-one correspondence between all filters and all normal congruences.

Keywords: incline, ideal, filter, regular congruence, normal congruence

MSC numbers: 16Y60