Kappa-Slender Modules

Author:

Dimitric Radoslav1

Affiliation:

1. Department of Mathematics , City University of New York – CUNY, 2800 Victory , Boulevard, 1S-215, Staten Island, NY 10314, United States

Abstract

Abstract For an arbitrary infinite cardinal κ, we define classes of κ-cslender and κ-tslender modules as well as related classes of κ-hmodules and initiate a study of these classes.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Reference7 articles.

1. [1] R. Dimitric: Slenderness in Abelian Categories. In: Göbel R., Lady L., Mader A.: Abelian Group Theory: Proceedings of the Conference at Honolulu, Hawaii, Lect. Notes Math. 1006. Berlin: Springer Verlag (1983) 375–383.

2. [2] R. Dimitric: Slenderness. Vol. I. Abelian Categories. Cambridge Tracts in Mathematics No. 215. Cambridge: Cambridge University Press (2018). ISBN: 978110847442910.1017/9781108587846

3. [3] R. Dimitric: Slenderness. Vol. II. Generalizations. Dualizations. Cambridge Tracts in Mathematics. Cambridge: Cambridge University Press (2021).

4. [4] L. Fuchs: Abelian Groups. Budapest: Publishing House of the Hungarian Academy of Science (1958). Reprinted by New York: Pergamon Press (1960).

5. [5] K. Hrbacek , T. Jech: Introduction to Set Theory (3rd edition, revised and expanded). New York – Basel: Marcel Dekker (1999).

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