Results 21 to 30 of about 326,550 (311)

A CHARACTERIZATION OF BAER-IDEALS [PDF]

Journal of Algebraic Systems, 2014
An ideal I of a ring R is called right Baer-ideal if there exists an idempotent e 2 R such that r(I) = eR. We know that R is quasi-Baer if every ideal of R is a right Baer-ideal, R is n-generalized right quasi-Baer if for each I E R the ideal In is right
Ali Taherifar
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Another generalization of principal ideal rings

Journal of Algebra, 1977
D. D. Anderson
openalex   +3 more sources

The Decomposition of a Finitely Generated Module over Some Special Ring

JTAM (Jurnal Teori dan Aplikasi Matematika), 2022
This research aims to give the decompositions of a finitely generated module over some special ring, such as the principal ideal domain and Dedekind domain. One of the main problems with module theory is to analyze the objects of the module.
I Gede Adhitya Wisnu Wardhana
doaj   +1 more source

Similarity classes of 3x3 matrices over a local principal ideal ring [PDF]

, 2008
In this paper similarity classes of three by three matrices over a local principal ideal commutative ring are analyzed. When the residue field is finite, a generating function for the number of similarity classes for all finite quotients of the ring is ...
Amritanshu Prasad, Appelgate H., Avni N., Dickson L. E., Hoffman K., Kurakin V. L., Leonid Vaserstein, Nagornyĭ S. V., Nechaev A. A., Nir Avni, Onn U., Uri Onn   +11 more
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A Bezout ring with nonzero principal Jacobson radical

Karpatsʹkì Matematičnì Publìkacìï, 2022
In this paper, we study a commutative Bezout domain with nonzero Jacobson radical being a principal ideal. It has been proved that such a Bezout domain is a ring of the stable range 1.
A.I. Gatalevych, A.A. Dmytruk
doaj   +1 more source

When is R[x] a principal ideal ring?

Revista Integración, 2018
Because of its interesting applications in coding theory, cryptography, and algebraic combinatoris, in recent decades a lot of attention has been paid to the algebraic structure of the ring of polynomials R[x], where R is a finite commutative ring with ...
Henry Chimal-Dzul, C. A. López-Andrade
doaj   +1 more source

On П – Pure Ideals [PDF]

Al-Rafidain Journal of Computer Sciences and Mathematics, 2014
As a generalization of right pure ideals, we introduce the notion of right П – pure ideals. A right ideal I of R is said to be П – pure, if for every a Î I there exists b Î I and a positive integer n such that an ≠ 0 and  an b = an.
Shaimaa Ahmad
doaj   +1 more source

The Ideal Intersection Property for Groupoid Graded Rings [PDF]

, 2010
We show that if a groupoid graded ring has a certain nonzero ideal property, then the commutant of the center of the principal component of the ring has the ideal intersection property, that is it intersects nontrivially every nonzero ideal of the ring ...
Caenepeel S., Cohen M., Cohen M., Dade E. C., Fisher J. W., Formanek E., Johan Öinert, Lang S., Le Bruyn L., Lorenz M., Lorenz M., Lorenz M., Lundström P., Lundström P., Lundström P., Montgomery S., Nauwelaerts E., Nǎstǎsescu C., Passman D. S., Patrik Lundström, Öinert J., Öinert J., Öinert J., Öinert J., Öinert J., Öinert J.   +25 more
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On GP- Ideals [PDF]

Al-Rafidain Journal of Computer Sciences and Mathematics, 2009
In this work we give some new properties of GP- ideals as well as the relation between GP- ideals, - π regular and simple ring. Also we consider rings with every principal ideal are GP- ideals and establish relation between such rings with strongly ...
Raida Mahmood, Shahla Khalil
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Noncommutative generalizations of theorems of Cohen and Kaplansky [PDF]

, 2011
This paper investigates situations where a property of a ring can be tested on a set of "prime right ideals." Generalizing theorems of Cohen and Kaplansky, we show that every right ideal of a ring is finitely generated (resp.
A Kertész, AV Jategaonkar, AV Jategaonkar, AW Goldie, AW Goldie, BL Osofsky, BV Zabavs’kiĭ, D Eisenbud, DV Huynh, EG Evans Jr, G Krause, I Kaplansky, IS Cohen, JA Beachy, JC McConnell, JC Robson, JC Robson, JJ Koker, K Koh, K Koh, KR Goodearl, KR Goodearl, Manuel L. Reyes, ML Reyes, PF Smith, PF Smith, PF Smith, PM Cohn, R Gordon, SA Amitsur, SM Bhatwadekar, TY Lam, TY Lam, TY Lam, TY Lam, TY Lam, TY Lam, VR Chandran, VR Chandran   +38 more
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