Results 1 to 10 of about 664,134 (330)

On p.p.-rings which are reduced [PDF]

International Journal of Mathematics and Mathematical Sciences, 2006
Denote the 2×2 upper triangular matrix rings over ℤ and ℤp by UTM2(ℤ) and UTM2(ℤp), respectively. We prove that if a ring R is a p.p.-ring, then R is reduced if and only if R does not contain any subrings isomorphic to UTM2(ℤ) or UTM2(ℤp).
Xiaojiang Guo, K. P. Shum
doaj   +4 more sources

Reduced p.p.-rings without identity [PDF]

International Journal of Mathematics and Mathematical Sciences, 2006
We give some necessary and sufficient conditions for p.p.-rings without identity to be reduced. Our results strengthen and extend the results of Fraser and Nicholson as well as some recent results we obtained on reduced p.p.-rings with identity.
Xiaojiang Guo, K. P. Shum
doaj   +2 more sources

Near-rings that reduce to rings [PDF]

Bulletin of the Australian Mathematical Society, 1977
It is shown that a near-ring is a ring if it is generated by a group of automorphisms of its additive group that contains all inner automorphisms.
Stuart D. Scott
openaire   +3 more sources

Some Results on Reduced Rings

مجلة بغداد للعلوم, 2008
The main purpose of this paper is to study some results concerning reduced ring with another concepts as semiprime ring ,prime ring,essential ideal ,derivations and homomorphism ,we give some results a bout that.
Baghdad Science Journal
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Reduced and irreducible simple algebraic extensions of commutative rings [PDF]

Mathematica Moravica, 2017
Let A be a commutative ring with identity and be an algebraic element over A. We give necessary and sufficient conditions under which the simple algebraic extension A[α] is without nilpotent or without idempotent elements.
Mihovski S.V.
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Characterizing reduced Witt rings of higher level [PDF]

Pacific Journal of Mathematics, 1987
Mulcahy's spaces of signatures (SOS) is an abstract setting for the reduced Witt rings of higher level of Becker and Rosenberg just as Marshall's spaces of orderings is an abstract setting for the ordinary reduced Witt ring. Finitely constructable SOS's are those built up in a finite number of steps from the smallest SOS using two operations.
Victoria Powers
openaire   +4 more sources

On Commutative Reduced Baer Rings [PDF]

Journal of Sciences, Islamic Republic of Iran, 2004
It is shown that a commutative reduced ring R is a Baer ring if and only if it is a CS-ring; if and only if every dense subset of Spec (R) containing Max (R) is an extremally disconnected space; if and only if every non-zero ideal of R is essential in a ...
doaj   +1 more source

On GAN-injective Rings [PDF]

Al-Rafidain Journal of Computer Sciences and Mathematics, 2023
If for any maximal right ideal P of B and a ∈ N(B) ,aB/ aP is almost N-injective, then a ring B is said to be right generalized almost N-injective.
Hazim Hazim, Raida Mahmood
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On n-Weakly Regular Rings [PDF]

Al-Rafidain Journal of Computer Sciences and Mathematics, 2012
As a generalization of right weakly regular rings, we introduce the notion of right n-weakly regular rings, i.e. for all aN(R), aaRaR. In this paper, first  give  various properties of right n-weakly regular rings.
Raida Mahammod, Mohammed Al-Neimi
doaj   +1 more source

On CS- Rings [PDF]

Al-Rafidain Journal of Computer Sciences and Mathematics, 2008
The main purpose of this paper is to study CS-rings. We give some properties of right CS-rings and the connection between such rings and reduced rings, regular rings, strongly regular rings, and S-weakly regular rings.
Anas Youns AL-Mashhdanny, Mohammed Youns AL-Neimi   +1 more
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