Results 201 to 210 of about 28,060 (225)
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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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Canadian Mathematical Bulletin, 1972
Relatively little is known about the ideal structure of A⊗RA' when A and A' are R-algebras. In [4, p. 460], Curtis and Reiner gave conditions that imply certain tensor products are semi-simple with minimum condition. Herstein considered when the tensor product has zero Jacobson radical in [6, p. 43]. Jacobson [7, p. 114] studied tensor products with no
Magarian, E. A., Mott, J. L.
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Relatively little is known about the ideal structure of A⊗RA' when A and A' are R-algebras. In [4, p. 460], Curtis and Reiner gave conditions that imply certain tensor products are semi-simple with minimum condition. Herstein considered when the tensor product has zero Jacobson radical in [6, p. 43]. Jacobson [7, p. 114] studied tensor products with no
Magarian, E. A., Mott, J. L.
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Mathematical Structures in Computer Science, 2010
Noether classes of posets arise in a natural way from the constructively meaningful variants of the notion of a Noetherian ring. Using an axiomatic characterisation of a Noether class, we prove that if a poset belongs to a Noether class, then so does the poset of the finite descending chains.
Perdry H, Schuster, Peter Michael
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Noether classes of posets arise in a natural way from the constructively meaningful variants of the notion of a Noetherian ring. Using an axiomatic characterisation of a Noether class, we prove that if a poset belongs to a Noether class, then so does the poset of the finite descending chains.
Perdry H, Schuster, Peter Michael
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Physica D: Nonlinear Phenomena, 2003
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Boukraa, S. +2 more
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Boukraa, S. +2 more
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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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Do Noetherian Modules Have Noetherian Basis Functions?
2006In Bishop-style constructive algebra it is known that if a module over a commutative ring has a Noetherian basis function, then it is Noetherian. Using countable choice we prove the reverse implication for countable and strongly discrete modules. The Hilbert basis theorem for this specific class of Noetherian modules, and polynomials in a single ...
Peter Schuster, Júlia Zappe
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Noetherian Automorphisms of Groups
Mediterranean Journal of Mathematics, 2005An automorphism α of a group G is called a noetherian automorphism if for each ascending chain $$ X_1 < X_2 < \ldots < X_n < X_{n + 1} < \ldots $$ of subgroups of G there is a positive integer m such that \(X_n^{\alpha} = X_n \) for all n ≥ m. The structure of the group of all noetherian automorphisms of a group is investigated in this paper.
DE GIOVANNI, FRANCESCO, DE MARI, FAUSTO
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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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