On m-ω1-pω+n-Projective Abelian p-Groups

On m-ω1-pω+n-Projective Abelian p-Groups

For any non-negative integers m and n, we define the classes of m-ω1-pω+n- projective groups and strongly m-ω1-pω+n-projective groups, which properly encompass the classes of ω1-pω+n-projectives introduced by Keef in J. Algebra Numb. Th. Acad. (2010) and strongly ω1-pω+n-projectives introduced by th...

Full description

Bibliographic Details
Main Author: Danchev Peter
Format: Article
Language:English
Published: De Gruyter 2014-12-01
Series:Demonstratio Mathematica
Subjects:
and phrases pω+n -projective groups
ω1-pω+n -projective groups
strongly ω1-pω+n-projective groups
countable subgroups
nice subgroups
Ulm subgroups
Ulm factors
Online Access:http://www.degruyter.com/view/j/dema.2014.47.issue-4/dema-2014-0065/dema-2014-0065.xml?format=INT
Description
Summary:For any non-negative integers m and n, we define the classes of m-ω1-pω+n- projective groups and strongly m-ω1-pω+n-projective groups, which properly encompass the classes of ω1-pω+n-projectives introduced by Keef in J. Algebra Numb. Th. Acad. (2010) and strongly ω1-pω+n-projectives introduced by the present author in Hacettepe J. Math. Stat. (2014), respectively. The new group structures share many interesting properties, which are closely related to these of the aforementioned two own subclasses. Moreover, certain basic results in this direction are also established.
ISSN:0420-1213
2391-4661

Similar Items