# Sh:461

• Eklof, P. C., & Shelah, S. (1993). Explicitly nonstandard uniserial modules. J. Pure Appl. Algebra, 86(1), 35–50.
• Abstract:
A new construction is given of non-standard uniserial modules over certain valuation domains; the construction resembles that of a special Aronszajn tree in set theory. A consequence is the proof of a sufficient condition for the existence of non-standard uniserial modules; this is a theorem of ZFC which complements an earlier independence result.
• Version 1995-09-04_10 (16p) published version (16p)
Bib entry
@article{Sh:461,
author = {Eklof, Paul C. and Shelah, Saharon},
title = {{Explicitly nonstandard uniserial modules}},
journal = {J. Pure Appl. Algebra},
fjournal = {Journal of Pure and Applied Algebra},
volume = {86},
number = {1},
year = {1993},
pages = {35--50},
issn = {0022-4049},
mrnumber = {1213152},
mrclass = {13L05 (03E75 13C13 13F30)},
doi = {10.1016/0022-4049(93)90151-I},
note = {\href{https://arxiv.org/abs/math/9301207}{arXiv: math/9301207}},
arxiv_number = {math/9301207}
}