Results 21 to 30 of about 15,314 (98)
Measuring birational derived splinters
Abstract This work is concerned with categorical methods for studying singularities. Our focus is on birational derived splinters, which is a notion that extends the definition of rational singularities beyond varieties over fields of characteristic zero. Particularly, we show that an invariant called ‘level’ in the associated derived category measures
Timothy De Deyn +3 more
wiley +1 more source
Abstract String theory has strong implications for cosmology, implying the absence of a cosmological constant, ruling out single‐field slow‐roll inflation, and that black holes decay. The origins of these statements are elucidated within the string‐theoretical swampland programme.
Kay Lehnert
wiley +1 more source
The enveloping algebra of a Lie algebra of differential operators
The aim of this note is to prove various general properties of a generalization of the full module of first order differential operators on a commutative ring - a $\operatorname{D}$-Lie algebra.
Maakestad, Helge Øystein
core
A simplification of Morita's construction of total right rings of quotients for a class of rings [PDF]
The total right ring of quotients $Q_{\mathrm{tot}}^r(R),$ sometimes also called the maximal flat epimorphic right ring of quotients or right flat epimorphic hull, is usually obtained as a directed union of a certain family of extension of the base ring $
Vas, Lia
core +1 more source
In this work an entangled photon pair generator that utilizes the biexciton–exciton cascade in semiconductor quantum dots is described on a physical, mathematical, and software level for interdisciplinary audiences, leading to Kraus operators to seamlessly incorporate it into bigger simulations.
Simon Sekavčnik +2 more
wiley +1 more source
Parameter test ideals of Cohen Macaulay rings
We describe an algorithm for computing parameter-test-ideals in certain local Cohen-Macaulay rings. The algorithm is based on the study of a Frobenius map on the injective hull of the residue field of the ring and on the application of Rodney Sharp's ...
Katzman, Mordechai
core +2 more sources
Solving the n $n$‐Player Tullock Contest
ABSTRACT The n $n$‐player Tullock contest with complete information is known to admit explicit solutions in special cases, such as (i) homogeneous valuations, (ii) constant returns, and (iii) two contestants. But can the model be solved more generally?
Christian Ewerhart
wiley +1 more source
Blocks in flat families of finite-dimensional algebras
We study the behavior of blocks in flat families of finite-dimensional algebras. In a general setting we construct a finite directed graph encoding a stratification of the base scheme according to the block structures of the fibers.
Thiel, Ulrich
core +1 more source
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
Invertible modules for commutative $\mathbb{S}$-algebras with residue fields
The aim of this note is to understand under which conditions invertible modules over a commutative S-algebra in the sense of Elmendorf, Kriz, Mandell and May give rise to elements in the algebraic Picard group of invertible graded modules over the ...
Baker, Andrew, Richter, Birgit
core +5 more sources

