Add to ORKGthe examples of non-Dedekind Prüfer domains, the main ones are valuation domains, the ring of entire functions and the integral closure of a Prüfer domain in an algebraic extension of its quotient field [Kap74, p.72]. A simila
Valuation rings occur in a wide variety of situations. In this paper we bring together many basic re...
The book deals with the (elementary and introductory) theory of valuation rings. As explained in the...
Let D be a domain with quotient field K. We consider the ring IntD.[ fg Kw X x; f D.:Dx of integer-...
LetRbe an integral domain. Forf∈R [ X ] letAfbe the ideal ofRgenerated by the coefficients off. We d...
AbstractWe consider the problem of constructing first-order definitions in the language of rings of ...
AbstractLetAbe a Dedekind domain with finite residue fields,Kit's quotient field,La finite separable...
AbstractWe study the class of integrally closed domains having a unique Kronecker function ring, or ...
AbstractFor certain classes of Prüfer domains A, we study the completion Á,T of A with respect to th...
AbstractA description is given of a nondiscrete ring topology on the algebraic closure of a finite f...
Let R be an integrally closed domain with quotient field K and S be the integral closure of R in a f...
A domain R is called a maximal non-Jaffard subring of a field L if R ⊂ L, R is not a Jaffard domain ...
A domain R is called a maximal non-Jaffard subring of a field L if R [contained in] L, R is not a Ja...
summary:Let $R$ be a commutative ring with unity. The notion of maximal non valuation domain in an i...
summary:Let $R$ be a commutative ring with unity. The notion of maximal non valuation domain in an i...
Greatest common divisor domains, Bezout domains, valuation rings, and Prüfer domains are studied. Ch...
Valuation rings occur in a wide variety of situations. In this paper we bring together many basic re...
The book deals with the (elementary and introductory) theory of valuation rings. As explained in the...
Let D be a domain with quotient field K. We consider the ring IntD.[ fg Kw X x; f D.:Dx of integer-...
LetRbe an integral domain. Forf∈R [ X ] letAfbe the ideal ofRgenerated by the coefficients off. We d...
AbstractWe consider the problem of constructing first-order definitions in the language of rings of ...
AbstractLetAbe a Dedekind domain with finite residue fields,Kit's quotient field,La finite separable...
AbstractWe study the class of integrally closed domains having a unique Kronecker function ring, or ...
AbstractFor certain classes of Prüfer domains A, we study the completion Á,T of A with respect to th...
AbstractA description is given of a nondiscrete ring topology on the algebraic closure of a finite f...
Let R be an integrally closed domain with quotient field K and S be the integral closure of R in a f...
A domain R is called a maximal non-Jaffard subring of a field L if R ⊂ L, R is not a Jaffard domain ...
A domain R is called a maximal non-Jaffard subring of a field L if R [contained in] L, R is not a Ja...
summary:Let $R$ be a commutative ring with unity. The notion of maximal non valuation domain in an i...
summary:Let $R$ be a commutative ring with unity. The notion of maximal non valuation domain in an i...
Greatest common divisor domains, Bezout domains, valuation rings, and Prüfer domains are studied. Ch...
Valuation rings occur in a wide variety of situations. In this paper we bring together many basic re...
The book deals with the (elementary and introductory) theory of valuation rings. As explained in the...
Let D be a domain with quotient field K. We consider the ring IntD.[ fg Kw X x; f D.:Dx of integer-...