TY - JOUR
T1 - Almost Prüfer v-Multiplication Domains and Related Domains of the Form D + D S[Γ*]
AU - Chang, Gyu Whan
AU - Lim, Jung Wook
PY - 2013
Y1 - 2013
N2 - Let D be an integral domain, S be a (saturated) multiplicative subset of D such that D {subset of with not equal to} D S, Γ be a numerical semigroup with Γ {subset of with not equal to} ℕ0, Γ* = Γ{set minus}{0}, X be an indeterminate over D, D + XD S[X] = {a + Xg ∈ D S[X]{divides}a ∈ D and g ∈ D S[X]}, and D + D S[Γ*] = {a + f ∈ D S[Γ]{divides}a ∈ D and f ∈ D S[Γ*]}; so D + D S[Γ*] {subset of with not equal to} D + XD S[X]. In this article, we study when D + D S[Γ*] is an APvMD, an AGCD-domain, an AS-domain, an AP-domain, or an AB-domain.
AB - Let D be an integral domain, S be a (saturated) multiplicative subset of D such that D {subset of with not equal to} D S, Γ be a numerical semigroup with Γ {subset of with not equal to} ℕ0, Γ* = Γ{set minus}{0}, X be an indeterminate over D, D + XD S[X] = {a + Xg ∈ D S[X]{divides}a ∈ D and g ∈ D S[X]}, and D + D S[Γ*] = {a + f ∈ D S[Γ]{divides}a ∈ D and f ∈ D S[Γ*]}; so D + D S[Γ*] {subset of with not equal to} D + XD S[X]. In this article, we study when D + D S[Γ*] is an APvMD, an AGCD-domain, an AS-domain, an AP-domain, or an AB-domain.
KW - Almost Prüfer v-multiplication domain
KW - D + D [Γ]
KW - Numerical semigroup
UR - http://www.scopus.com/inward/record.url?scp=84879659660&partnerID=8YFLogxK
U2 - 10.1080/00927872.2012.660264
DO - 10.1080/00927872.2012.660264
M3 - Article
AN - SCOPUS:84879659660
SN - 0092-7872
VL - 41
SP - 2650
EP - 2664
JO - Communications in Algebra
JF - Communications in Algebra
IS - 7
ER -