Abstract
It is well known that large parts of multiplicative ideal theory can be derived in the language of commutative monoids. Classical parts of the theory were treated in this context in my monograph “Ideal Systems” (Marcel Dekker, 1998). The main purpose of this article is to outline some recent developments of multiplicative ideal theory (especially the concepts of spectral star operations and semistar operations together with their applications) in a purely multiplicative setting.
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