# Sh:461

- Eklof, P. C., & Shelah, S. (1993).
*Explicitly nonstandard uniserial modules*. J. Pure Appl. Algebra,**86**(1), 35–50. arXiv: math/9301207 DOI: 10.1016/0022-4049(93)90151-I MR: 1213152 -
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. - 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}, doi = {10.1016/0022-4049(93)90151-I}, mrclass = {13L05 (03E75 13C13 13F30)}, mrnumber = {1213152}, mrreviewer = {R. G\"obel}, doi = {10.1016/0022-4049(93)90151-I}, note = {\href{https://arxiv.org/abs/math/9301207}{arXiv: math/9301207}}, arxiv_number = {math/9301207} }