New results on <Emphasis Type="Italic">C</Emphasis><Subscript>11</Subscript> and <Emphasis Type="Italic">C</Emphasis><Subscript>12</Subscript> lattices with applications to Grothendieck categories and torsion theories期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

New results on C11 and C12 lattices with applications to Grothendieck categories and torsion theories

Authors:	Toma Albu Mihai Iosif

Affiliation:	1.Simion Stoilow Institute of Mathematics of the Romanian Academy,Research Unit 5,Bucharest 1,Romania;2.Department of Mathematics,Bucharest University,Bucharest 1,Romania

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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