References
[B] Baudisch, A.: Magidor-Malitz quantifiers in modules. J. Symb. Logic49, 1–8 (1984)
[Br] Brenner, S.: On four subspaces of a vector space. J. Algebra29, 587–599 (1974)
[BR] Baudisch, A., Rothmaler, P.: The stratified order in modules. In: Frege Conference, Schwerin 1984. Math. Res.20, 44–56 (1984)
[C-B] Crawley-Boevey, W.W.: On tame algebras and bocses, Proc. Lond. Math. Soc., III. Ser.56, 451–483 (1988)
[CR] Curtis, C.W., Reiner, I.: Representation theory of finite groups and associative algebras. New York: Interscience, 1962
[D] Drozd, J.A.: Representations of commutative algebras. Translated in Funct. Anal. Appl.6, 286–288 (1972)
[EF] Eklof, P.C., Fisher, E.: The elementary theory of abelian groups. Ann. Math. Logic4, 115–171 (1972)
[F] Fisher, E.: Powers of saturated modules. J. Symb. Logic37, 777 (1972)
[GP] Gelfand, I.M., Ponomarev, V.A.: Problems of linear algebra and classification of quadruples of subspaces in a finite-dimensional vector space. Colloq. Math. Soc. Janos Bolyai5, 163–237 (1972)
[P1] Prest, M.: Model theory and representation type of algebras. In: Drake, F.R., Truss, J.K. (eds.) Logic Colloquium '86, pp. 219–260. Amsterdam: North-Holland 1988
[P2] Prest, M.: Model theory and modules. Lond. Math. Soc. Lect. Note Ser., vol. 130, 1988
[Po] Point, F.: Problemes de decidabilite pour le theories des modules. Bull. Belg. Math. Soc. Ser. B,38, 58–74 (1986)
[R] Ringel, C.M.: The indecomposable representation of dihedral 2-groups. Math. Ann.214, 19–34 (1975)
[Ro] Rothmaler, P.: Total transzendente abelsche Gruppen und Morley-Rang. Akad. Wiss. der DDR, Berlin, 1978
[S] Shelah, S.: Classification theory and the number of non-isomorphic models. Amsterdam: North-Holland 1978
[T1] Toffalori, C.: Classification theory for a 1-ary function. III. J. Math. (to appear)
[T2] Toffalori, C.: 1-ary functions and the f.c.p. Ill. J. Math. (to appear)
[Z] Ziegler, M.: Model theory and modules. Ann. Pure Appl. Logic26, 149–213 (1984)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Marcja, A., Prest, M. & Toffalori, C. Classification theory for abelian groups with an endomorphism. Arch Math Logic 31, 95–104 (1991). https://doi.org/10.1007/BF01387762
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01387762