Abstract
Primal ideal has been introduced and discussed in the literature. In the present note we commence first by giving a concept of strongly primal ideal which is followed by illustrating its implications with strongly prime ideals, strongly primary, and also with strongly irreducible ideals. In addition, we introduce fuzzy primal ideal, fuzzy strongly primal ideal, and fuzzy almost primal ideal and also discuss their relations among each other and with the other existing fuzzy ideals in the literature. Mathematics Subject Classification: 08A72, 20N25