In this paper, we study multiplication lattice modules. We establish a new multiplication over elements of a multiplication lattice module.With this multiplication, we characterize idempotent element, prime element, weakly prime element and almost prime element in multiplication lattice modules.
Let be a commutative ring with a nonzero identity. In this study, we present a new class of ideals lying properly between the class of -ideals and the class of -ideals. A proper ideal of is said to be a quasi -ideal if is an -ideal of Many examples and results are given to disclose the relations between this new concept and others that already exist, namely, the -ideals, the quasi primary ideals, the -ideals and the -ideals. Moreover, we use the quasi -ideals to characterize some...
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