When does an AB5* module have finite hollow dimension?

Derya Keskin Tütüncü; Rachid Tribak; Patrick F. Smith

doi:10.4064/cm124-2-4

When does an AB5* module have finite hollow dimension?

Derya Keskin Tütüncü
, Rachid Tribak
, Patrick F. Smith

Division of Algebra and Number Theory

Research output: Contribution to journal › Article › peer-review

Abstract

Using a lattice-theoretical approach we find characterizations of modules with finite uniform dimension and of modules with finite hollow dimension.

Original language	English
Pages (from-to)	191-204
Number of pages	14
Journal	Colloquium Mathematicum
Volume	124
Issue number	2
DOIs	https://doi.org/10.4064/cm124-2-4
Publication status	Published - 2011

Keywords

AB5* module
Generalized Hopfian module
Hollow dimension
Uniform dimension
Weakly supplemented module

Access to Document

10.4064/cm124-2-4

Cite this

@article{cda2d270b30f40b8b5ca9d1f17fea4f8,

title = "When does an AB5* module have finite hollow dimension?",

abstract = "Using a lattice-theoretical approach we find characterizations of modules with finite uniform dimension and of modules with finite hollow dimension.",

keywords = "AB5* module, Generalized Hopfian module, Hollow dimension, Uniform dimension, Weakly supplemented module",

author = "T{\"u}t{\"u}nc{\"u}, \{Derya Keskin\} and Rachid Tribak and Smith, \{Patrick F.\}",

year = "2011",

doi = "10.4064/cm124-2-4",

language = "English",

volume = "124",

pages = "191--204",

journal = "Colloquium Mathematicum",

issn = "0010-1354",