Results 61 to 70 of about 21,622,505 (140)

Ideals contracted from a Noetherian extension ring [PDF]

, 1982
Let R be a commutative ring with identity such that for each ideal A of R, there exists a Noetherian unitary extension ring T(A) of R such that A is contracted from T(A). We investigate the structure of R. The context in which this topic has usually been
Heinzer, William, Gilmer, Robert
core   +1 more source

Generators of maximal left ideals in Banach algebras [PDF]

, 2012
In 1971, Grauert and Remmert proved that a commutative, complex, Noetherian Banach algebra is necessarily finite-dimensional. More precisely, they proved that a commutative, complex Banach algebra has finite dimension over C whenever all the closed ...
Dales, H.G., Zelazko, W.
core   +1 more source

Noetherian properties in monoid rings [PDF]

, 2003
Let R be a commutative unitary ring and let M be a commutative monoid. The monoid ring R[M] is considered as an M-graded ring where the homogeneous elements of degree s are the elements of the form aXs, a∈R, s∈M.
Rush, David E.
core   +1 more source

Topological Noetherianity of polynomial functors II: base rings with Noetherian spectrum. [PDF]

Math Ann, 2023
Bik A, Danelon A, Draisma J.
europepmc   +1 more source

A commutative version of the group ring

We construct a commutative version of the group ring and show that it allows one to translate questions about the normal generation of groups into questions about the generation of ideals in commutative rings.
Mannan, W.H.
core   +1 more source

Integer-valued polynomials on valuation rings of global fields with prescribed lengths of factorizations. [PDF]

Mon Hefte Math, 2023
Fadinger-Held V, Frisch S, Windisch D.
europepmc   +1 more source

The Injective Spectrum of a Right Noetherian Ring

, 2020
The injective spectrum is a topological space associated to a ring R, which agrees with the Zariski spectrum when R is commutative noetherian. We consider injective spectra of right noetherian rings (and locally noetherian Grothendieck categories) and ...
Gulliver, Harry
core   +3 more sources

On the arithmetic of stable domains. [PDF]

Commun Algebra, 2021
Bashir A, Geroldinger A, Reinhart A.
europepmc   +1 more source

Noetherian module matrix over commutative ring

, 2022
Master of Science in Pure MathematicsAlgebraic structure is a set together with one or more binary operations that satisfy some axioms of the binary operations, for example groups, rings, and modules.
Achmad, Abdurrazzaq
core  

On transfer homomorphisms of Krull monoids. [PDF]

Boll Unione Mat Ital (2008), 2021
Geroldinger A, Kainrath F.
europepmc   +1 more source