Results 131 to 140 of about 186 (173)
Primary decomposition of the ideal of polynomials whose fixed divisor is divisible by a prime power.
J Algebra, 2014 Peruginelli G.
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Archiv der Mathematik, 1991
\textit{S. Singh} [Arch. Math. 39, 306-311 (1982; Zbl 0502.16012)] considered rings \(R\) with the property: (P) every finitely generated right \(R\)-module is a direct sum of a projective module with zero socle and uniserial Artinian modules. He proved that a right FBN-ring satisfying (P) is a direct sum of an Artinian serial ring and right hereditary
Dinh Van Huynh, Phan Dan
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\textit{S. Singh} [Arch. Math. 39, 306-311 (1982; Zbl 0502.16012)] considered rings \(R\) with the property: (P) every finitely generated right \(R\)-module is a direct sum of a projective module with zero socle and uniserial Artinian modules. He proved that a right FBN-ring satisfying (P) is a direct sum of an Artinian serial ring and right hereditary
Dinh Van Huynh, Phan Dan
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Ukrainian Mathematical Journal, 1989
See the review in Zbl 0661.16009.
Kirichenko, V. V., Yaremenko, Yu. V.
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See the review in Zbl 0661.16009.
Kirichenko, V. V., Yaremenko, Yu. V.
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ANNALI DELL UNIVERSITA DI FERRARA, 1976
Noi introduciamo degli invarianti numerici per misurare in diverse maniere quanto manchi ad un anello per essere noetheriano. La classe degli anelli meta-Noetheriani gode di proprieta ragionevoli. Noi studiamo in particolare il loro comportamento per passaggio all'anello di polinomi.
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Noi introduciamo degli invarianti numerici per misurare in diverse maniere quanto manchi ad un anello per essere noetheriano. La classe degli anelli meta-Noetheriani gode di proprieta ragionevoli. Noi studiamo in particolare il loro comportamento per passaggio all'anello di polinomi.
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Ideal Decompositions in Noetherian Rings
Canadian Journal of Mathematics, 1965An interesting identity is obtained for ideals A and B in a Noetherian ring :A = (A + Bn) ∩ (A : Bn)for sufficiently large n. This identity is applied to obtain Fuchs' quasi-primary decomposition of A in an improved form, and to obtain Krull's theorem on the intersection of the powers of A, both developments making no use of the Noetherian primary ...
Barnes, Wilfred E., Cunnea, William M.
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On strongly J-Noetherian rings
Journal of Algebra and Its Applications, 2021In this paper, we introduce a class of commutative rings which is a generalization of [Formula: see text]-rings and rings with Noetherian spectrum. A ring [Formula: see text] is called strongly [Formula: see text]-Noetherian whenever the ring [Formula: see text] is [Formula: see text]-Noetherian for every non-nilpotent [Formula: see text].
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Characterizations of generalized noetherian rings
Acta Mathematica Hungarica, 1989A ring with several objects is a small additive category \({\mathcal C}\). In this setting, the role of the module category is played by the category \(Ab^{{\mathcal C}}\) of additive functors \({\mathcal C}\to Ab\). Extending results of the first author [Acta Math. Acad. Sci. Hung.
Hannick, Francis T., Hewitt, Gloria C.
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