AbstractIn this paper we consider five possible extensions of the Prüfer domain notion to the case of commutative rings with zero divisors and relate the corresponding properties on a ring with the property of its total ring of quotients. We show that a Prüfer ring R satisfies one of the five conditions if and only if the total ring of quotients Q(R) of R satisfies that same condition. We focus in particular on the Gaussian property of a ring
AbstractA commutative ring R has Property (A) if every finitely generated ideal of R consisting enti...
Gaussian integer is one of basic algebraic integers. In this article we formalize some definitions a...
This thesis deals with quadratic integer rings, in particular the Gaussian integers Z}[i]. Concepts ...
In this paper we consider five possible extensions of the Prufer domain notion to the case of commut...
Abstract. In this paper we consider five possible extensions of the Prüfer domain notion to the cas...
AbstractThis paper deals with well-known extensions of the Prüfer domain concept to arbitrary commut...
Abstract. The content of a polynomial f over a commutative ring R is the ideal c(f) of R generated b...
A Prüfer domain is defined as an integral domain for which each nonzero finitely generated ideal i...
Prüfer domains are commutative domains in which every non -zero finitely generated ideal is invertib...
AbstractWe introduce a class of rings we call right Gaussian rings, defined by the property that for...
Let A be a commutative ring and E a non-zero A-module. Necessary and sufficient conditions are given...
AbstractThis paper studies the multiplicative ideal structure of commutative rings in which every fi...
Let R be an associative ring. We define a subset SR of R as SR = [a ? R | aRa = (0)] and call it the...
AbstractIn this paper we consider five extensions of the Prüfer domain notion to commutative rings w...
A rig is a riNg without Negatives. We analyse the free rig on a generator x subject to the equivalen...
AbstractA commutative ring R has Property (A) if every finitely generated ideal of R consisting enti...
Gaussian integer is one of basic algebraic integers. In this article we formalize some definitions a...
This thesis deals with quadratic integer rings, in particular the Gaussian integers Z}[i]. Concepts ...
In this paper we consider five possible extensions of the Prufer domain notion to the case of commut...
Abstract. In this paper we consider five possible extensions of the Prüfer domain notion to the cas...
AbstractThis paper deals with well-known extensions of the Prüfer domain concept to arbitrary commut...
Abstract. The content of a polynomial f over a commutative ring R is the ideal c(f) of R generated b...
A Prüfer domain is defined as an integral domain for which each nonzero finitely generated ideal i...
Prüfer domains are commutative domains in which every non -zero finitely generated ideal is invertib...
AbstractWe introduce a class of rings we call right Gaussian rings, defined by the property that for...
Let A be a commutative ring and E a non-zero A-module. Necessary and sufficient conditions are given...
AbstractThis paper studies the multiplicative ideal structure of commutative rings in which every fi...
Let R be an associative ring. We define a subset SR of R as SR = [a ? R | aRa = (0)] and call it the...
AbstractIn this paper we consider five extensions of the Prüfer domain notion to commutative rings w...
A rig is a riNg without Negatives. We analyse the free rig on a generator x subject to the equivalen...
AbstractA commutative ring R has Property (A) if every finitely generated ideal of R consisting enti...
Gaussian integer is one of basic algebraic integers. In this article we formalize some definitions a...
This thesis deals with quadratic integer rings, in particular the Gaussian integers Z}[i]. Concepts ...
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