Results 31 to 40 of about 32,058 (259)

On Generalized Simple Singular AP-Injective Rings [PDF]

Al-Rafidain Journal of Computer Sciences and Mathematics, 2012
A ring R is said to be generalized right simple singular AP-injective, if for any maximal essential right ideal M of R and for any bÎM, bR/bM is AP-injective. We shall study the characterization and properties of  this class of rings.
Raida Mahmood, Husam Mohammad
doaj   +1 more source

The patch topology and the ultrafilter topology on the prime spectrum of a commutative ring [PDF]

, 2007
Let R be a commutative ring and let Spec(R) denote the collection of prime ideals of R. We define a topology on Spec(R) by using ultrafilters and demonstrate that this topology is identical to the well known patch or constructible topology.
Fontana, Marco, Loper, K. Alan
core   +3 more sources

K1 of Von Neumann regular rings

Journal of Pure and Applied Algebra, 1984
For certain rings and \(C^*\)-algebras R, the group \(K_ 1(R)\) is shown to equal the abelianization of the unit group U(R). For instance, this is proved for every \(C^*\)-algebra with unitary 1-stable range, for every \(AW^*\)-algebra, and for every unit-regular ring in which 2 is invertible.
Menal, Pere, Moncasi, Jaume
openaire   +2 more sources

The space of extended orthomorphisms in a Riesz space [PDF]

, 1984
We study the space Orth[infinity](L) of extended orthomorphisms in an Archimedean Riesz space L and its analogies with the complete ring of quotients of a commutative ring with unit element.
DePagter, B.
core   +2 more sources

On n-flat modules and n-Von Neumann regular rings

International Journal of Mathematics and Mathematical Sciences, 2006
We show that each R-module is n-flat (resp., weakly n-flat) if and only if R is an (n,n−1)-ring (resp., a weakly (n,n−1)-ring). We also give a new characterization of n-Von Neumann regular rings and a characterization of weak n-Von Neumann regular rings ...
Najib Mahdou
doaj   +1 more source

The almost isomorphism relation for simple regular rings [PDF]

, 1992
A longstanding open problem in the theory of von Neumann regular rings is the question of whether every directly finite simple regular ring must be unit-regular. Recent work on this problem has been done by P. Menal, K.C . O'Meara, and the authors.
Ara, Pere,, Goodearl, K. R.
core   +2 more sources

Trivial Ring Extension of Suitable-Like Conditions and some properties [PDF]

مجلة جامعة النجاح للأبحاث العلوم الطبيعية, 2018
We investigate the transfer of the notion of suitable rings along with related concepts, such as potent and semipotent rings, in the general context of the trivial ring extension, then we put these results in use to enrich the literature with new ...
Khalid Adarbeh
doaj   +1 more source

New characterizations of Von Neumann regular rings and a conjecture of Shamsuddin [PDF]

, 1996
A theorem of Utumi states that if R is a right self-injective ring such that every maximal ideal has nonzero annihilator, then R modulo the Jacobson radical J is a finite product of simple rings and is a Von Neuman regular ring. We prove two theorems and
Faith, Carl
core   +2 more sources

Semiprime SF-rings whose essential left ideals are two-sided

International Journal of Mathematics and Mathematical Sciences, 1994
It is proved that if R is a semiprime ELT-ring and every simple right R-module is flat then R is regular. Is R regular if R is a semiprime ELT-ring and every simple right R-module is flat? In this note, we give a positive answer to the question.
Zhang Jule, Du Xhianneng
doaj   +1 more source

From regular modules to von Neumann regular rings via coordinatization [PDF]

Romanian Journal of Mathematics and Computer Science, 2014
In this paper we establish a very close link (in terms of von Neu- mann's coordinatization) between regular modules introduced by Zel- manowitz, on one hand, and von Neumann regular rings, on the other hand: we prove that the lattice L^{fg}(M) of all ...
Leonard Daus, Mohamed A. Salim
doaj