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Search: MSC category 16P40 ( Noetherian rings and modules )

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1. CMB Online first

Bavula, V. V.; Lu, T.
 Classification of simple weight modules over the SchrÃ¶dinger algebra A classification of simple weight modules over the SchrÃ¶dinger algebra is given. The Krull and the global dimensions are found for the centralizer $C_{\mathcal{S}}(H)$ (and some of its prime factor algebras) of the Cartan element $H$ in the universal enveloping algebra $\mathcal{S}$ of the SchrÃ¶dinger (Lie) algebra. The simple $C_{\mathcal{S}}(H)$-modules are classified. The Krull and the global dimensions are found for some (prime) factor algebras of the algebra $\mathcal{S}$ (over the centre). It is proved that some (prime) factor algebras of $\mathcal{S}$ and $C_{\mathcal{S}}(H)$ are tensor homological/Krull minimal. Keywords:weight module, simple module, centralizer, Krull dimension, global dimension, tensor homological minimal algebra, tensor Krull minimal algebraCategories:17B10, 17B20, 17B35, 16E10, 16P90, 16P40, 16P50

2. CMB 1999 (vol 42 pp. 174)

Ferrero, Miguel; Sant'Ana, Alveri
 Rings With Comparability The class of rings studied in this paper properly contains the class of right distributive rings which have at least one completely prime ideal in the Jacobson radical. Amongst other results we study prime and semiprime ideals, right noetherian rings with comparability and prove a structure theorem for rings with comparability. Several examples are also given. Categories:16U99, 16P40, 16D14, 16N60
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