Keywords
- Injective Module
- Torsion Theory
- Torsion Class
- Quotient Category
- Ascend Chain Condition
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your 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.
References
T. Albu and C. Nastasescu, Relative Finiteness in Module Theory, Text in Pure and Appl. Math. 84, Marcel-Dekker, 1984.
J.L. Bueso, P. Jara and B. Torrecillas, Decomposition of Injective Modules Relative to a torsion theory, to appear in Israel J. Math.
L. Fuchs, Abelian Groups, vol. I, II, Pure and Applied Math. Series 36, Academic Press, 1973.
J. Golan, Localization of Noncommutative Rings, Marcel Dekker, New York, 1975.
O. Goldmann, Elements of Noncommutative Arithmetic, J. of Algebra 35 (1975) 308–341.
K. Masaike and T. Horigome, Direct Sum of T-injective Modules, Tsukuba J. Math. 4 (1980) 77–81.
S. Mohamed and S. Singh, Decomposition on T-injective Modules, Comm. in Algebra 9 (1981) 601–611.
S. Mohamed, B. Muller and S. Singh, A Note on the Decomposition of T-injective Modules, Comm. in Algebra 9 (1984) 663–672.
T. Porter, The Kernel of Completion Maps and Relative Form of Nakayama's Lemma, J. of Algebra 85 (1983) 166–178.
T. Porter, A Relative Jacobson Radical with Applications, Proc. Conference in Radical Theory.
S. Singh, Modules over H.N.P. Rings, Can. J. Math. XXVII (1975) 867–883.
S. Singh and W. Ansari, On Ulm's Theorem, Comm. in Algebra 10 (1982) 2031–2042.
M. Teply, Modules Semicocritical with Respect to a Torsion Theory and Their Applications, to appear in Israel J. Math.
M. Teply, Torsionfree Injective Modules, Pacific J. Math. 28 (1969) 441–453.
B. Torrecillas, On Kulikov's Theorem, to appear in Comm. in Algebra.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1986 Springer-Verlag
About this paper
Cite this paper
Torrecillas, B. (1986). Height relative to a torsion theory. In: van Oystaeyen, F.M.J. (eds) Ring Theory. Lecture Notes in Mathematics, vol 1197. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076324
Download citation
DOI: https://doi.org/10.1007/BFb0076324
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-16496-8
Online ISBN: 978-3-540-39833-2
eBook Packages: Springer Book Archive
