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New results on C 11 and C 12 lattices with applications to Grothendieck categories and torsion theories

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Abstract

In this paper, which is a continuation of our previous paper [T. Albu, M. Iosif, A. Tercan, The conditions (C i ) in modular lattices, and applications, J. Algebra Appl. 15 (2016), http: dx.doi.org/10.1142/S0219498816500018], we investigate the latticial counterparts of some results about modules satisfying the conditions (C 11) or (C 12). Applications are given to Grothendieck categories and module categories equipped with hereditary torsion theories.

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Authors and Affiliations

  1. Simion Stoilow Institute of Mathematics of the Romanian Academy, Research Unit 5, P.O. Box 1-764, RO-010145, Bucharest 1, Romania

    Toma Albu

  2. Department of Mathematics, Bucharest University, Academiei Str. 14, RO-010145, Bucharest 1, Romania

    Mihai Iosif

Authors
  1. Toma Albu
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  2. Mihai Iosif
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Correspondence to Toma Albu.

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Albu, T., Iosif, M. New results on C 11 and C 12 lattices with applications to Grothendieck categories and torsion theories. Front. Math. China 11, 815–828 (2016). https://doi.org/10.1007/s11464-016-0550-y

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  • DOI: https://doi.org/10.1007/s11464-016-0550-y

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