scientific article

zbMath0455.16004MaRDI QIDQ3903133

Lance W. Small

Publication date: 1980

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Krull dimensiontranscendence degreeGelfand-Kirillov dimensionGoldie ringsAzumaya algebrascentral polynomialsArtin-Procesi theoremfinitely-generated PI-ringsk-affine PI-ringsNoetherian PI-ringsprimitive PI-ringssemi-prime PI-rings

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Prime and semiprime associative rings (16N60) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Conditions on elements (16U99) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Noetherian rings and modules (associative rings and algebras) (16P40) Research exposition (monographs, survey articles) pertaining to associative rings and algebras (16-02)

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