• 대한수학회보
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• 제42권3호
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• pp.443-451
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• 2005

The notion of grisly deductive systems of a BL-algebra is introduced. Conditions for a deductive system to be a grisly deductive system are given. Extension property for a grisly deductive system is established

• 호남수학학술지
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• 제28권1호
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• pp.45-56
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• 2006

We give characterizations of a deductive system of a BL-algebra, and discuss how to generate a deductive system by a set.

• 호남수학학술지
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• 제29권3호
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• pp.445-453
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• 2007

The notion of strong deductive system of a BL-algebra is introduced, and a characterization of a strong deductive system is given. A relation between a strong deductive system and a deductive system is given. It will be seen that every strong deductive system can be expressed as the union of special sets.