Results 51 to 60 of about 611,831 (181)

Locally irreducible rings [PDF]

Bulletin of the Australian Mathematical Society, 1985
In the study of torsion-free abelian groups of finite rank the notions of irreducibility, field of definition and E-ring have played significant rôles. These notions are tied together in the following theorem of R. S. Pierce:THEOREM. Let R be a ring whose additive group is torsion free finite rank irreducible and let Γ be the centralizer of QR as a QE ...
Vinsonhaler, C., Wickless, W.
openaire   +1 more source

Isomorphism of generalized triangular matrix-rings and recovery of tiles

International Journal of Mathematics and Mathematical Sciences, 2003
We prove an isomorphism theorem for generalized triangular matrix-rings, over rings having only the idempotents 0and 1, in particular, over indecomposable commutative rings or over local rings (not necessarily commutative).
R. Khazal, S. Dăscălescu, L. Van Wyk
doaj   +1 more source

Strong Artin-Rees Property in Rings of dimension one and two [PDF]

, 2006
In this note we give a simple proof of the fact that local rings of dimension one have the strong uniform Artin-Rees property.
Striuli, Janet
core   +3 more sources

ASSESSMENT OF POLYCYCLIC AROMATIC HYDROCARBONS OF BOTTLED WATER AVAILABLE IN IRAQI LOCAL MARKETS [PDF]

Mesopotamia Journal of Agriculture
The present study is intended to assess the type and content of 16 specific polycyclic aromatic hydrocarbons in bottled drinking water available in Iraqi local markets (The study included eight local brands, one tap water sample, and three imported ...
Hassan Al-Fayadh, Mazin Al-Zubaidi, Moath Alhajjar   +2 more
doaj   +1 more source

Localization of Ringed Spaces

Advances in Pure Mathematics, 2011
Let $X$ be a ringed space together with the data $M$ of a set $M_x$ of prime ideals of $ _{X,x}$ for each point $x \in X$. We introduce the localization of $(X,M)$, which is a locally ringed space $Y$ and a map of ringed spaces $Y \to X$ enjoying a universal property similar to the localization of a ring at a prime ideal. We use this to prove that the
openaire   +3 more sources

On the Genus of the Co-Annihilating Graph of Commutative Rings

Discussiones Mathematicae - General Algebra and Applications, 2019
Let R be a commutative ring with identity and 𝒰R be the set of all nonzero non-units of R. The co-annihilating graph of R, denoted by 𝒞𝒜R, is a graph with vertex set 𝒰R and two vertices x and y are adjacent whenever ann(x) ∩ ann(y) = (0).
Selvakumar K., Karthik S.
doaj   +1 more source

Chow-Witt rings of Grassmannians

, 2020
We complement our previous computation of the Chow-Witt rings of classifying spaces of special linear groups by an analogous computation for the general linear groups. This case involves discussion of non-trivial dualities. The computation proceeds along
Wendt, Matthias
core  

A local model for the trianguline variety and applications

, 2017
We describe the completed local rings of the trianguline variety at certain points of integral weights in terms of completed local rings of algebraic varieties related to Grothendieck's simultaneous resolution of singularities.
Breuil, Christophe, Hellmann, Eugen, Schraen, Benjamin   +2 more
core   +1 more source

The Computational Complexity of Subclasses of Semiperfect Rings

Mathematics
This paper studies the computational complexity of subclasses of semiperfect rings from the perspective of computability theory. A ring is semiperfect if the identity can be expressed as a sum of mutually orthogonal local idempotents.
Huishan Wu
doaj   +1 more source

On local Galois deformation rings: generalised tori

Forum of Mathematics, Sigma
We study deformation theory of mod p Galois representations of p-adic fields with values in generalised tori, such as L-groups of (possibly non-split) tori.
Vytautas Paškūnas, Julian Quast
doaj   +1 more source