Electronic Resource
Springer
Southeast Asian bulletin of mathematics
24 (2000), S. 243-253
ISSN:
0219-175X
Keywords:
q-ideal
;
a-ideal
;
p-ideal
;
associative BCI-algebra
;
quasi-associative BCI-algebra
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract In this note we define the notions of q-ideals and a-ideals in BCI-algebras. We give several characterizations and the extensive theorems about q-ideals and a-ideals. We show that a non-empty subset of a BCI-algebra is a-ideal if and only if it is both q-ideal and p-ideal. Finally, we give four characterizations of associative BCI-algebras by a-ideals and eight characterizations of quasi-associative BCI-algebras by q-ideals.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s10012-000-0243-y
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