Modular C11 lattices and lattice preradicals-Reference-Cited by-同舟云学术

Modular C11 lattices and lattice preradicals

Published:2017-04-12 Issue:06 Volume:16 Page:1750116
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Albu Toma¹,Iosif Mihai²

Affiliation:

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

2. Bucharest University, Department of Mathematics, Academiei Str. 14, RO 010014 Bucharest 1, Romania

Abstract

This paper deals with properties of modular [Formula: see text] lattices involving hereditary preradicals on hereditary classes of modular lattices. Applications are given to Grothendieck categories and module categories equipped with hereditary torsion theories.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021949881750116X

Reference14 articles.

1. The Osofsky-Smith Theorem for Modular Lattices, and Applications (II)

2. T. Albu, Chain Conditions in Modular Lattices with Applications to Grothendieck Categories and Torsion Theories, Monograph Series of Parana’s Mathematical Society No. 1, Sociedade Paranaense de Matemática, Maringá, Paraná, Brasil, 2015, 134 pages.

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