AbstractA characterization of factorial Noetherian domains in terms of 0-submodules is presented and it is applied to give a criterion for the ring of a hypersurface to be factorial (Vasconcelos, Computational Methods in Commutative Algebra and Algebraic Geometry, Springer, Berlin, 1998) and to reduce a conjecture of Evans and Grffith in Syzygies (Cambridge University Press, Cambridge, UK, 1985) to ideals
Let R be a commutative Noetherian ring of prime characteristic p and f : R → R the Frobenius endomor...
AbstractThis paper is devoted to the study of smash products R#U(g) where R is a Noetherian algebra ...
A ring D is called an SFT ring if for each ideal I of D, there exist a finitely generated ideal J of...
AbstractA characterization of factorial Noetherian domains in terms of 0-submodules is presented and...
AbstractWe examine for a Noetherian domain R the relationship between the completion of R and its ul...
Let $A$ be a noetherian ring whose maximal spectrum has dimension at most 1. For instance, $A$ can b...
This thesis focuses on the formalization of basic topics in commutative algebra\ud using the proof a...
AbstractThe authors use K-theoretic methods to prove that if F is a field of char 0 and G is a torsi...
Abstract. For a non-zero element a in an integral domain R, let Dn(a) denote the set of non-associat...
ABSTRACT: A half-factorial domain (HFD) is an atomic domain, R, with the property that if one has th...
Abstract. Let T be a complete local (Noetherian) ring with maximal ideal M, P a nonmaximal ideal of ...
It is proved that the adic and the symbolic topologies of an ideal I of a Noetherian ring are equiva...
Abstract. Given a power series ring R over a Noetherian integral domain R and an intermediate eld L...
AbstractLet D be an integral domain with quotient field K, ∗ a star-operation on D, X a nonempty set...
If D is a Krull domain, then it is well known that D is a unique factoriza-tion domain (UFD) if and ...
Let R be a commutative Noetherian ring of prime characteristic p and f : R → R the Frobenius endomor...
AbstractThis paper is devoted to the study of smash products R#U(g) where R is a Noetherian algebra ...
A ring D is called an SFT ring if for each ideal I of D, there exist a finitely generated ideal J of...
AbstractA characterization of factorial Noetherian domains in terms of 0-submodules is presented and...
AbstractWe examine for a Noetherian domain R the relationship between the completion of R and its ul...
Let $A$ be a noetherian ring whose maximal spectrum has dimension at most 1. For instance, $A$ can b...
This thesis focuses on the formalization of basic topics in commutative algebra\ud using the proof a...
AbstractThe authors use K-theoretic methods to prove that if F is a field of char 0 and G is a torsi...
Abstract. For a non-zero element a in an integral domain R, let Dn(a) denote the set of non-associat...
ABSTRACT: A half-factorial domain (HFD) is an atomic domain, R, with the property that if one has th...
Abstract. Let T be a complete local (Noetherian) ring with maximal ideal M, P a nonmaximal ideal of ...
It is proved that the adic and the symbolic topologies of an ideal I of a Noetherian ring are equiva...
Abstract. Given a power series ring R over a Noetherian integral domain R and an intermediate eld L...
AbstractLet D be an integral domain with quotient field K, ∗ a star-operation on D, X a nonempty set...
If D is a Krull domain, then it is well known that D is a unique factoriza-tion domain (UFD) if and ...
Let R be a commutative Noetherian ring of prime characteristic p and f : R → R the Frobenius endomor...
AbstractThis paper is devoted to the study of smash products R#U(g) where R is a Noetherian algebra ...
A ring D is called an SFT ring if for each ideal I of D, there exist a finitely generated ideal J of...
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