Results 291 to 300 of about 397,514 (346)

Prime ideals of principally quasi-Baer rings

Acta Mathematica Hungarica, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Birkenmeier, G. F., Kim, J. Y., Park, J. K.   +2 more
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Restricted left principal ideal rings

Israel Journal of Mathematics, 1972
A ring is an LD-ring ifR is left bounded, ifR/J is a left Artinian left principal ideal ring for every proper idealJ inR, and ifR has finite left Goldie dimension. IfR is non-Artinian thenR is an order in a simple Artinian ringS. The ideal theory of LD-rings is investigated, and we discuss some conditions under which an LD-ring is an hereditary ring ...
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Finite rings of principal ideals

Mathematical Notes of the Academy of Sciences of the USSR, 1972
We investigate a class of finite rings of principal ideals: we derive the necessary and sufficient conditions that the rings of this class are uniquely defined by certain parameters to within an isomorphism.
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Polynomial and Series Rings and Principal Ideals

Journal of Mathematical Sciences, 2003
This paper surveys results from previous work by the author [\textit{A. A. Tuganbaev}, Mat. Zametki 70, No. 2, 270-288 (2001; Zbl 1035.16022); translation in Math. Notes 70, No. 2, 242-257 (2001) and in Formal power series and algebraic combinatorics, Moscow 2000.
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Special Principal Ideal Rings and Absolute Subretracts

Canadian Mathematical Bulletin, 1991
AbstractA ringRis said to be an absolute subretract if for any ringSin the variety generated byRand for any ring monomorphismffromRintoS, there exists a ring morphismgfromStoRsuch that gf is the identity mapping. This concept, introduced by Gardner and Stewart, is a ring theoretic version of an injective notion in certain varieties investigated by ...
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On the integral ideals of R[X] when R is a special principal ideal ring

São Paulo Journal of Mathematical Sciences, 2020
M. Charkani, B. Boudine
semanticscholar   +1 more source

Full and Elementary Nets over the Quotient Field of a Principal Ideal Ring

Journal of Mathematical Sciences, 2018
R. Y. Dryaeva, V. A. Koibaev, Ya. N. Nuzhin   +2 more
semanticscholar   +2 more sources

Polynomial codes and principal ideal rings

Proceedings of IEEE International Symposium on Information Theory, 2002
Conditions are given which determine when the ring R=S[x/sub 1/, ..., x/sub n/]/(f/sub 1/(x/sub 1/), ..., f/sub n/(x/sub n/)) is a principal ideal ring where either S=Z/sub m/ and R is finite or S is a field. If S and R are both finite then an ideal C of R is a linear code.
J. Cazaran, A.V. Kelarev
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Ideal factoriality, semistar operations, and quasiprincipal Ideals

Communications in Algebra
The w-operation, a “smoother” variant of the classic t-operation on the set of ideals of a commutative ring R, has recently attracted significant attention. We study when R’s monoid of w-ideals is “factorial” in some sense.
S. G. Gates, J. R. Juett, Lois W. Ndungu, Rhys D. Roberts   +3 more
semanticscholar   +1 more source

Rings with projective principal right ideals

Ukrainian Mathematical Journal, 1990
See the review in Zbl 0702.16003.
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