Skip to main content Accessibility help

We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.

Close cookie message
×
Hostname: page-component-84b7d79bbc-l82ql Total loading time: 0 Render date: 2024-07-25T07:36:02.667Z Has data issue: false hasContentIssue false

Model Theory of Modules

Published online by Cambridge University Press:  24 March 2017

By
I. Herzog
Edited by
Johann A. Makowsky  and
Elena V. Ravve
I. Herzog
Affiliation:
University of Notre Dame
Johann A. Makowsky
Affiliation:
Technion - Israel Institute of Technology, Haifa
Elena V. Ravve
Affiliation:
Technion - Israel Institute of Technology, Haifa
Get access

Summary

A summary is not available for this content so a preview has been provided. Please use the Get access link above for information on how to access this content.
Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'
Type
Chapter
Information
Logic Colloquium '95 , pp. 66 - 72
Publisher: Cambridge University Press
Print publication year: 2017

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Auslander, M. Coherent functors, in Proceedings of the Conference on Categorical Algebra (La Jolla 1905), Eilenberg, S. Harrison, D.K. MacLane, S. Röhrl, H. eds.
Baur, W. Elimination of quantifiers for modules, Israel Journal of Mathematics 25 (1976) 64–70.Google Scholar
Eklof, P. and Fisher, E. The elementary theory of abelian groups, Annals of Mathematical Logic 4(2) (1972) 115-171.Google Scholar
Gabriel, P. Des Catégories Abéliennes, Bull. Soc. Math. France 90 (1962) 323–448.Google Scholar
Kaplansky, I. Infinite Abelian Groups, University of Michigan Press, Ann Arbor, 1969.
Rothmaler, Ph. Mittag-Leffler modules. Habilitationschrift, 1995, Kiel.
Prest, M. Model Theory and Modules, London Mathematical Society Lecture Notes Series 130, Cambridge University Press, Cambridge, 1988.
Prest, M., Rothmaler, Ph. and Ziegler, M. Absolutely pure and flat modules and “indiscrete” rings, Journal of Algebra, 174 (1995) 349–372.Google Scholar
Sabbagh, G. Sur la purete dans les modules, C.R Acad. Sci. Paris, 271(1970) 865–867.Google Scholar
Szmielew, W. Elementary properties of abelian groups, Fundamenta Mathematicae 41 (1955) 203-271.Google Scholar
Warfield, R. Purity and algebraic compactness for modules, Pacific Journal of Mathematics 28 (1969) 699–719.Google Scholar
Ziegler, M. Model theory of modules, Annals of Pure and Applied Logic 26 (1984) 149–213.Google Scholar

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

  • Model Theory of Modules
  • Edited by Johann A. Makowsky, Technion - Israel Institute of Technology, Haifa, Elena V. Ravve, Technion - Israel Institute of Technology, Haifa
  • Book: Logic Colloquium '95
  • Online publication: 24 March 2017
  • Chapter DOI: https://doi.org/10.1017/9781316716830.008
Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

  • Model Theory of Modules
  • Edited by Johann A. Makowsky, Technion - Israel Institute of Technology, Haifa, Elena V. Ravve, Technion - Israel Institute of Technology, Haifa
  • Book: Logic Colloquium '95
  • Online publication: 24 March 2017
  • Chapter DOI: https://doi.org/10.1017/9781316716830.008
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Model Theory of Modules
  • Edited by Johann A. Makowsky, Technion - Israel Institute of Technology, Haifa, Elena V. Ravve, Technion - Israel Institute of Technology, Haifa
  • Book: Logic Colloquium '95
  • Online publication: 24 March 2017
  • Chapter DOI: https://doi.org/10.1017/9781316716830.008
Available formats
×