Weak ideals in BCI-algebras. | [Journal of Research Science • 1990]

Author(s):

1. Shaban Ali Bhatti: Centre for Advanced Studies in Pure & Applied Mathematics (CASPAM), Bahauddin Zakria University, Multan, Pakistan

Abstract:

C.S. Hoo6 gave the concept of a closed ideal. It is still not obvious that all ideals are closed. Thus a natural question arises which ideals are always closed. We gave the notion of a strong ideal and proved that it is always closed4. In this paper we introduced the concept of a weak ideal and classify it into two types, namely weak ideals of type-I and weak ideals of type-II. We also show that every weak ideal of type-I is always closed.

Page(s): 67-69

DOI: DOI not available

Published: Journal: Journal of Research Science, Volume: 2, Issue: 3, Year: 1990

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