×

A note on Noetherian orders in Artinian rings. (English) Zbl 0405.16002


MSC:

16P50 Localization and associative Noetherian rings
16H05 Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.)
16U99 Conditions on elements
16P40 Noetherian rings and modules (associative rings and algebras)
16P20 Artinian rings and modules (associative rings and algebras)
16D70 Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras)
16Nxx Radicals and radical properties of associative rings
16N40 Nil and nilpotent radicals, sets, ideals, associative rings
16Dxx Modules, bimodules and ideals in associative algebras
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Robson, Comm. Algebra 1 pp 345– (1974)
[2] DOI: 10.2307/2040348 · Zbl 0311.16023 · doi:10.2307/2040348
[3] DOI: 10.1112/blms/9.2.177 · Zbl 0355.16013 · doi:10.1112/blms/9.2.177
[4] DOI: 10.1080/00927877608822143 · Zbl 0331.16019 · doi:10.1080/00927877608822143
[5] DOI: 10.1016/0021-8693(66)90047-0 · Zbl 0147.28703 · doi:10.1016/0021-8693(66)90047-0
[6] DOI: 10.1073/pnas.54.4.1035 · Zbl 0138.26801 · doi:10.1073/pnas.54.4.1035
[7] DOI: 10.1090/S0002-9904-1967-11812-3 · Zbl 0149.28102 · doi:10.1090/S0002-9904-1967-11812-3
[8] DOI: 10.1073/pnas.55.1.25 · Zbl 0135.07703 · doi:10.1073/pnas.55.1.25
[9] DOI: 10.1016/0021-8693(68)90025-2 · Zbl 0164.03904 · doi:10.1016/0021-8693(68)90025-2
[10] DOI: 10.1090/S0002-9904-1966-11587-2 · Zbl 0143.05502 · doi:10.1090/S0002-9904-1966-11587-2
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.