Abstract
Steinfield defined the notion of quasi-ideals of semigroups in 1956. Grosek and Satko defined the notion of A-ideals of semigroups in 1980. In this paper, we define the notion of quasi-A-ideals by using the concept of A-ideals and quasi-ideals of semigroups. Moreover, we introduce the notion of fuzzy A-ideals by using the concept of A-ideals and fuzzy ideals of semigroups.
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