Results 31 to 40 of about 369 (132)

On von Neumann regular rings with an automorphism

Journal of Algebra, 2007
Difference fields enjoy a nice model theory; for instance, their existentially closed models get an elegant axiomatization through ACFA and provide a typical example of structures with a simple theory. Furthermore every difference ring of sequences \(F^{\mathbb Z}\) for \(F\) a finite field, with the shift automorphism \(\sigma_t ((c_i)_{i \in {\mathbb
Hrushovski, Ehud, Point, Françoise
openaire   +2 more sources

A valuation ring analogue of von Neumann regularity

Annals of Pure and Applied Logic, 2007
The author unifies results on certain (Rumely) domains, arising from the work of \textit{A.~Macintyre} and \textit{L.~van den Dries} [``The logic of Rumely's local-global principle'', J.~Reine Angew.~Math. 407, 33--56 (1990; Zbl 0703.13021)], and \textit{A.~Prestel} and \textit{J.~Schmid} [``Existentially closed domains with radical relations'', J ...
openaire   +2 more sources

Ext and von Neumann regular rings [PDF]

Czechoslovak Mathematical Journal, 1985
A ring R is called a left T-ring if \(Ext_ R(M,N)\neq 0\) for each non- projective module M and each non-injective module N. In the paper, the following results are proved: 1) Let R be a von Neumann regular ring. If R is a T-ring, then each left ideal of R is countably generated. 2) Let R be a simple countable regular ring.
openaire   +2 more sources

Rings Whose Pure-Projective Modules Have Maximal or Minimal Projectivity Domain

Journal of New Theory
In this study, we investigate the projectivity domain of pure-projective modules. A pure-projective module is called special-pure-projective (s-pure-projective) module if its projectivity domain contains only regular modules. First, we describe all rings
Zübeyir Türkoğlu
doaj   +1 more source

Gorenstein Von Neumann regular rings

, 2009
In this paper, we study the rings with zero Gorenstein weak dimensions, which we call them Gorenstein Von Neumann regular rings.
Mahdou, Najib, Tamekkante, Mohammed, Yassemi, Siamak   +2 more
openaire   +2 more sources

K1 of noncommutative von Neumann regular rings

Journal of Pure and Applied Algebra, 1976
AbstractIf R is any (noncommutative, von Neumann) regular ring with 2 invertible, then K1 of the free (noncommuting) R-algebra on a set X is canonically isomorphic to K1(R). If R is unit-regular, then K1(R) is just the abelianization of the group of units of R. Some examples are computed.
openaire   +2 more sources

Polynomial Rings Over a Commutative von Neumann Regular Ring [PDF]

Proceedings of the American Mathematical Society, 1975
It is shown that the annihilator of each finitely generated ideal of R [ {
openaire   +1 more source

A Note on ϕ-Pseudo 2-Prime Ideals

Journal of Mathematics
This paper explores the concept of ϕ-pseudo 2-prime ideals within the framework of commutative rings. Let R be a commutative ring having a nonzero identity and ϕ:LR⟶LR∪∅ be a function, where LR is the lattice of all ideals of R.
Rabia Nagehan Üregen
doaj   +1 more source

On Weakly von Neumann regular rings

, 2009
In this paper, we define and study a particular case of von Neumann regular notion called a weak von Neumann regular ring. It shown that the polynomial ring $R[x]$ is weak von Neumann regular if and only if $R$ has exactly two idempotent elements. We provide necessary and sufficient conditions for $ R=A\propto E $ to be a weak von Neumann ring.
Kabbour, Mohammed, Mahdou, Najib
openaire   +2 more sources

On spectral compactness of von Neumann regular rings

, 2012
Summary: We characterize the spectral compactness of commutative von Neumann regular rings. We show that through a process of adjunction of identity, we can obtain the Alexandroff compactification or a star compactification of the prime spectrum of certain von Neumann regular rings.
RUBIO, IBETH MARCELA, ACOSTA, LORENZO
openaire   +3 more sources