Results 81 to 90 of about 709,548 (225)
A classification of Prüfer domains of integer‐valued polynomials on algebras
Abstract Let D$D$ be an integrally closed domain with quotient field K$K$ and A$A$ a torsion‐free D$D$‐algebra that is finitely generated as a D$D$‐module and such that A∩K=D$A\cap K=D$. We give a complete classification of those D$D$ and A$A$ for which the ring IntK(A)={f∈K[X]∣f(A)⊆A}$\textnormal {Int}_K(A)=\lbrace f\in K[X] \mid f(A)\subseteq A ...
Giulio Peruginelli, Nicholas J. Werner
wiley +1 more source
Local equivalence and refinements of Rasmussen's s‐invariant
Abstract Inspired by the notions of local equivalence in monopole and Heegaard Floer homology, we introduce a version of local equivalence that combines odd Khovanov homology with equivariant even Khovanov homology into an algebraic package called a local even–odd (LEO) triple.
Nathan M. Dunfield +2 more
wiley +1 more source
Solvability of invariant systems of differential equations on H2$\mathbb {H}^2$ and beyond
Abstract We show how the Fourier transform for distributional sections of vector bundles over symmetric spaces of non‐compact type G/K$G/K$ can be used for questions of solvability of systems of invariant differential equations in analogy to Hörmander's proof of the Ehrenpreis–Malgrange theorem.
Martin Olbrich, Guendalina Palmirotta
wiley +1 more source
Cartan-Eilenberg 复形的Foxby 等价(Foxby equivalences of Cartan-Eilenberg complexes)
Let R be a commutative noetherian ring with a semi-dualizing module C. We introduce CE (abbreviation for Cartan-Eilenberg) Auslander class CΕ - 𝓐C( R ) and CE Bass class CΕ - 𝓑C ( R ) ,and extend the Foxby equivalence to the setting of CE complexes.
ZHANGChunxia(张春霞) +1 more
doaj +1 more source
An uncountable Noetherian ring with free additive group
An example is given of an uncountable Noetherian ring whose additive group is free. This answers a question posed indirectly by L. Fuchs.
John D. O’Neill
core +1 more source
Criteria for a ring to have a left Noetherian left quotient ring [PDF]
Two criteria are given for a ring to have a left Noetherian left quotient ring (to find a criterion was an open problem since 70's).
Bavula, V.V., V.V. Bavula
core +1 more source
Bi-artinian noetherian rings [PDF]
A noetherian ring R satisfies the descending chain condition on two-sided ideals (“is bi-artinian”) if and only if, for each prime P ∈ spec(R), R/P has a unique minimal ideal (necessarily idempotent and left-right essential in R/P). The analogous statement for merely right noetherian rings is false, although our proof does not use the full ...
openaire +2 more sources
A characterization of primal noetherian rings [PDF]
Noetherian ring with identity is shown to be a primal ring if and only if the prime ideals are totally ordered by ...
Manley, P. L.
core
Perfect complexes and completion
Let R^ ${\hat {R}}_{}$ ModifyingAbove upper R With caret be the I-adic completion of a commutative ring R with respect to a finitely generated ideal I. We give a necessary and sufficient criterion for the category of perfect complexes over R^ ${\
Paul Balmer, Beren Sanders
doaj +1 more source
Some Properties of Noetherian Rings [PDF]
This paper is an investigation of several basic properties of noetherian rings. Chapter I gives a brief introduction, statements of definitions, and statements of theorems without proof.
Vaughan, Stephen N. (Stephen Nick)
core

