On the Ideals of a Noetherian Ring
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Publication:3680983
DOI10.2307/1999707zbMath0566.16006OpenAlexW4247274444MaRDI QIDQ3680983
Publication date: 1985
Full work available at URL: https://doi.org/10.2307/1999707
prime idealsNoetherian ringsNoetherian domainGoldie rankprime Noetherian ringsecond layer linked to infinitely many prime ideals
Commutative Noetherian rings and modules (13E05) Noetherian rings and modules (associative rings and algebras) (16P40) Modules, bimodules and ideals in associative algebras (16Dxx)
Related Items (15)
Idealizer rings and noncommutative projective geometry ⋮ Affine Noetherian algebras, filtrations and presentations ⋮ Matrix bispectrality of full rank one algebras ⋮ The influence of ideal structure on representation theory ⋮ Noncommutative graded domains with quadratic growth ⋮ A RESULT ON THE INCOMPARABILITY OF LINKED PRIME IDEALS ⋮ Geometric algebras on projective surfaces ⋮ Examples in non-commutative projective geometry ⋮ Algebras of bounded finite dimensional representation type ⋮ Nonnoetherian singularities and their noncommutative blowups ⋮ Affiliated series and extensions of modules ⋮ Geometric idealizer rings ⋮ Non-finitely generated projective modules over generalized Weyl algebras. ⋮ Krull and Global Dimensions of Fully Bounded Noetherian Rings ⋮ Idealisers in skew group rings
Cites Work
- Localisation at cliques in group rings
- The number of generators of a module over a fully bounded ring
- Generating modules efficiently: Algebraic K-theory for noncommutative Noetherian rings
- Idealizers and hereditary Noetherian prime rings
- Linear Groups and Projective Modules over Skew Polynomial Rings
- The structure of modules over polycyclic groups
- The Primitive Factor Rings of the Enveloping Algebra of sl (2, C )
- A Note on the Artin-Rees Property of certain Polycyclic Group Algebras
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