Results 141 to 150 of about 252 (184)
Products of two atoms in Krull monoids and arithmetical characterizations of class groups.
Eur J Comb, 2013 Baginski P +3 more
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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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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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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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Canadian Journal of Mathematics, 1984
A module M is called a serial module if the family of its submodules is linearly ordered under inclusion. A ring R is said to be serial if RR as well as RR are finite direct sums of serial modules. Nakayama [8] started the study of artinian serial rings, and he called them generalized uniserial rings.
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A module M is called a serial module if the family of its submodules is linearly ordered under inclusion. A ring R is said to be serial if RR as well as RR are finite direct sums of serial modules. Nakayama [8] started the study of artinian serial rings, and he called them generalized uniserial rings.
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Communications in Algebra, 1984
(1984). Piecewise noetherian rings. Communications in Algebra: Vol. 12, No. 21, pp. 2679-2706.
John A. Beachy, William D. Weakley
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(1984). Piecewise noetherian rings. Communications in Algebra: Vol. 12, No. 21, pp. 2679-2706.
John A. Beachy, William D. Weakley
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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, Wilfried E., Cunnea, William M.
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1975
This work specifically surveys simple Noetherian rings. The authors present theorems on the structure of simple right Noetherian rings and, more generally, on simple rings containing a uniform right ideal U. The text is as elementary and self-contained as practicable, and the little background required in homological and categorical algebra is given in
John Cozzens, CArl Faith
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This work specifically surveys simple Noetherian rings. The authors present theorems on the structure of simple right Noetherian rings and, more generally, on simple rings containing a uniform right ideal U. The text is as elementary and self-contained as practicable, and the little background required in homological and categorical algebra is given in
John Cozzens, CArl Faith
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Fixed Rings of Noetherian Rings
Bulletin of the London Mathematical Society, 1981Montgomery, S., Small, L. W.
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