This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Social references for Section I
V. DLAB, Rank Theory of Modules, Fund. Math. 64 (1969), pp. 313–324.
P. GABRIEL, Des Catégories Abeliennes, Bull. Soc. Math. France 90 (1962), pp. 323–448.
A.W. GOLDIE, A Note on Non-commutative Localization, J. of Algebra 8 (1968), pp. 41–44.
A.W. GOLDIE, Localization in Non-commutative Noetherian Rings, J. of Algebra 5 (1967), pp. 89–105.
O. GOLDMAN, Rings and Modules of Quotients, J. of Algebra 13 (1969), pp. 10–47.
A.G. HEINICKE, On the Ring of Quotients at a Prime Ideal of a Right Noetherian Ring, Canad. J. Math. 24 (1972), pp. 703–712.
J. LAMBEK, Lectures on Rings and Modules, Waltham, Toronto, London, 1966.
J. LAMBEK, Torsion Theories, Additive Semantics and Rings of Quotients, Lecture Notes in Mathematics 177 (1971).
J. LAMBEK, G. MICHLER, The Torsion Theory at a Prime Ideal of a Right Noetherian Ring, J. of Algebra 25, (1973), pp. 364–389.
D.C. MURDOCH, Contributions to Noncommutative Ideal Theory, Canad. J. of Math., vol. 6, Nr. 1, 1952.
D.C. MURDOCH, F. VAN OYSTAEYEN, Noncommutative Localization and Sheaves, J. of Algebra, to appear.
D.C. MURDOCH, F. VAN OYSTAEYEN, Symmetric Kernel Functors and Quasi-primes, Indag. Math., to appear.
S.K. SIM, Prime Idempotent Kernel Functors with Property T, Proc. Amer. Math. Soc., to appear.
S.K. SIM, Noncommutative Localizations and Prime Ideals, Proc. Amer. Math. Soc.
H. STORRER, On Goldman's Primary Decomposition, Lectures on Rings and Modules, Lect. Notes in Mathematics 246, Springer-Verlag, Berlin 1972.
Rights and permissions
Copyright information
© 1975 Springer-Verlag
About this chapter
Cite this chapter
van Oystaeyen, F.M.J. (1975). Generalities on localization. In: Prime Spectra in Non-Commutative Algebra. Lecture Notes in Mathematics, vol 444. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0068136
Download citation
DOI: https://doi.org/10.1007/BFb0068136
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-07146-4
Online ISBN: 978-3-540-37438-1
eBook Packages: Springer Book Archive