Alexandroff Topology of Algebras Over an Integral Domain
Sign Up to like & getrecommendations! Published in 2019 at "Mediterranean Journal of Mathematics"
DOI: 10.1007/s00009-020-1502-z
Abstract: Let S be an integral domain with field of fractions F and let A be an F -algebra. An S -subalgebra R of A is called S -nice if R is lying over S and… read more here.
Keywords: algebras integral; alexandroff topology; topology; integral domain ... See more keywords
Divisibility Properties of the Semiring of Ideals of an Integral Domain
Sign Up to like & getrecommendations! Published in 2020 at "Algebra Colloquium"
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