Results 61 to 70 of about 30,075 (226)
Chain conditions on composite Hurwitz series rings
In this paper, we study chain conditions on composite Hurwitz series rings and composite Hurwitz polynomial rings. More precisely, we characterize when composite Hurwitz series rings and composite Hurwitz polynomial rings are Noetherian, S-Noetherian or ...
Lim Jung Wook, Oh Dong Yeol
doaj +1 more source
Twists of twisted generalized Weyl algebras
Abstract We study graded twisted tensor products and graded twists of twisted generalized Weyl algebras (TGWAs). We show that the class of TGWAs is closed under these operations assuming mild hypotheses. We generalize a result on cocycle equivalence among multiparameter quantized Weyl algebras to the setting of TGWAs.
Jason Gaddis, Daniele Rosso
wiley +1 more source
Counting submodules of a module over a noetherian commutative ring
We count the number of submodules of an arbitrary module over a countable noetherian commutative ring. We give, along the way, a structural description of meager modules, which are defined as those that do not have the square of a simple module as ...
Cornulier, Yves
core +2 more sources
Rational normal curves in weighted projective space
Abstract This article aims to extend classical homological results about the rational normal curves to analogues in weighted projective spaces. Results include determinantality and nonstandard versions of quadratic generation and the Koszul property.
Caitlin M. Davis, Aleksandra Sobieska
wiley +1 more source
In this paper, we first consider the concept of type Noetherian dimension of a module such as $M$, which is dual of the type Krull dimension, denoted by $\tndim\, (M)$, and defined to be the codeviation of the poset of the type submodules of $M$, then we
Nasrin Shirali+2 more
doaj +1 more source
Periodic points of rational functions over finite fields
Abstract For q$q$ a prime power and ϕ$\phi$ a rational function with coefficients in Fq$\mathbb {F}_q$, let p(q,ϕ)$p(q,\phi)$ be the proportion of P1Fq$\mathbb {P}^1\left(\mathbb {F}_q\right)$ that is periodic with respect to ϕ$\phi$. Furthermore, if d$d$ is a positive integer, let Qd$Q_d$ be the set of prime powers coprime to d!$d!$ and let P(d,q ...
Derek Garton
wiley +1 more source
The small condition for modules with Noetherian dimension [PDF]
A module $M$ with Noetherian dimension is said to satisfy the small condition, if for any small submodule $S$ of $M$ the Noetherian dimension of $S$ is strictly less than the Noetherian dimension of $M$. For an Artinian module $M$, this is equivalent to
Nasrin Shirali+2 more
doaj +1 more source
Autonomous Noetherian boundaryvalue problem in special critical case [PDF]
The necessary and sufficient terms of solution existence of nonlinear autonomous Noetherian boundary-value problem are found in special critical case. The characteristic feature of the set problems is impossibility of direct application of traditional ...
Sergey Mikhaylovich Chujko+2 more
doaj +1 more source
On Noetherianness of Nash rings [PDF]
We introduce a class of rings, called Nash Rings, which generalize the notation of rings of Nash functions. Let k k be any field, X X be a normal algebraic variety in k n {k^n} , and U ⊂ X U \subset X .
Fulvio Mora, Mario Raimondo
openaire +2 more sources
Preservation for generation along the structure morphism of coherent algebras over a scheme
Abstract This work demonstrates classical generation is preserved by the derived pushforward along the structure morphism of a noncommutative coherent algebra to its underlying scheme. Additionally, we establish that the Krull dimension of a variety over a field is a lower bound for the Rouquier dimension of the bounded derived category associated with
Anirban Bhaduri, Souvik Dey, Pat Lank
wiley +1 more source