Results 181 to 190 of about 709,548 (225)
Algebraic Structure of Linear Dynamical Systems. III. Realization Theory Over a Commutative Ring. [PDF]
Rouchaleau Y, Wyman BF, Kalman RE.
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Étale neighbourhoods and the normal crossings locus.
Bruschek C, Wagner D.
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Sets of lengths in maximal orders in central simple algebras.
Smertnig D.
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Primary decomposition of the ideal of polynomials whose fixed divisor is divisible by a prime power.
Peruginelli G.
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Products of two atoms in Krull monoids and arithmetical characterizations of class groups.
Baginski P +3 more
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A Condition for Artinian Rings to be Noetherian
Throughout this paper the word “Artinian (Noetherian) ring” means an associative ring with minimum (maximum) condition on left ideals. According to C. Hopkins, an Artinian ring is Noetherian if it contains a left or right identity [3, p. 728]. However we shall consider Artinian rings without the assumption of existence of such an identity, and the ...
Ichiro Murase
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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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