Weak multiplication modules
In this paper we characterize weak multiplication modules.
Weak multiplication modules over a pullback of Dedekind domains
Let R be the pullback, in the sense of Levy [J. Algebra 71 (1981)], of two local Dedekind domains. We classify all those indecomposable weak multiplication R-modules M with finite-dimensional top, that is, such that M/Rad(R)M is finite-dimensional over R/Rad(R). We also establish a connection between the weak multiplication modules and the pure-injective modules over such domains.
Weak Uniform Distribution of un+1 =aun + b in Dedekind Domains.
Weitzenböck Derivations and Classical Invariant Theory: I. Poincaré Series
2000 Mathematics Subject Classification: 13N15, 13A50, 16W25.By using classical invariant theory approach, formulas for computation of the Poincaré series of the kernel of linear locally nilpotent derivations are found.
Weitzenböck Derivations and Classical Invariant Theory II: The Symbolic Method
2000 Mathematics Subject Classification: 13N15, 13A50, 13F20.An analogue of the symbolic method of classical invariant theory for a representation and manipulation of the elements of the kernel of Weitzenböck derivations is developed.
Wenn B ein Hauptidealring ist, so sind alle projektiven B [X, Y]-Moduln frei.
Weyl closure of hypergeometric systems.
When does the -signature exist?
We show that the -signature of an -finite local ring of characteristic exists when is either the localization of an -graded ring at its irrelevant ideal or -Gorenstein on its punctured spectrum. This extends results by Huneke, Leuschke, Yao and Singh and proves the existence of the -signature in the cases where weak -regularity is known to be equivalent to strong -regularity.
When every flat ideal is projective
In this paper, we study the class of rings in which every flat ideal is projective. We investigate the stability of this property under homomorphic image, and its transfer to various contexts of constructions such as direct products, and trivial ring extensions. Our results generate examples which enrich the current literature with new and original families of rings that satisfy this property.
When ... (f) Convergent Implies f is Convergent.
When is a Ring of Torus Invariants a Polynomial Ring?
When is each proper overring of R an S(Eidenberg)-domain?
A domain R is called a maximal "non-S" subring of a field L if R ⊂ L, R is not an S-domain and each domain T such that R ⊂ T ⊆ L is an S-domain. We show that maximal "non-S" subrings R of a field L are the integrally closed pseudo-valuation domains satisfying dim(R) = 1, dimv(R) = 2 and L = qf(R).
When is every order ideal a ring ideal?
A lattice-ordered ring is called an OIRI-ring if each of its order ideals is a ring ideal. Generalizing earlier work of Basly and Triki, OIRI-rings are characterized as those -rings such that is contained in an -ring with an identity element that is a strong order unit for some nil -ideal of . In particular, if denotes the set of nilpotent elements of the -ring , then is an OIRI-ring if and only if is contained in an -ring with an identity element that is a strong order unit....
When is the algebra of multisymmetric polynomials generated by the elementary multisymmetric polynomials?
When is the last degree solution of a Bézout identity nonnegative on the interval [-1,1]?
We give conditions such that the least degree solution of a Bézout identity is nonnegative on the interval [-1,1].
When is seminormal or -closed?
Sia a un intero algebrico con il polinomio minimale . Si danno condizioni necessarie e sufficienti affinché l'anello sia seminormale o -chiuso per mezzo di . Come applicazione, in particolare, si ottiene che se , , le condizioni sono espresse mediante il discriminante de .
When spectra of lattices of -ideals are Stone-Čech compactifications
Let be a completely regular Hausdorff space and, as usual, let denote the ring of real-valued continuous functions on . The lattice of -ideals of has been shown by Martínez and Zenk (2005) to be a frame. We show that the spectrum of this lattice is (homeomorphic to) precisely when is a -space. This we actually show to be true not only in spaces, but in locales as well. Recall that an ideal of a commutative ring is called a -ideal if whenever two elements have the same annihilator and...
When the Dual of an Ideal is a Ring.
Which fields have no maximal subrings ?
Whitehead Modules over Domains.