Linkage of Ideals in Integral Domains
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DOI: 10.1007/s10468-020-09969-7
Abstract: In this paper, we investigate the linkage of ideals, in Noetherian and non-Noetherian settings, with the aim to establish new characterizations of classical notions of domains through linkage theory. Two main results assert that a… read more here.
Keywords: integral domains; linkage ideals; linkage; linkage property ... See more keywords
Divisibility Properties of the Semiring of Ideals of an Integral Domain
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DOI: 10.1142/s1005386720000309
Abstract: Let D be an integral domain, F+(D) (resp., f+(D)) be the set of nonzero (resp., nonzero finitely generated) ideals of D, R1 = f+(D) ∪ {(0)}, and R2 = F+(D) ∪ {(0)}. Then (Ri, ⊕,… read more here.
Keywords: properties semiring; integral domain; ideals integral; divisibility properties ... See more keywords