PROPERTIES OF RING EXTENSIONS INVARIANT UNDER GROUP ACTION

Amy Schmidt

doi:https://doi.org/10.24330/ieja.295752

Article Details

PROPERTIES OF RING EXTENSIONS INVARIANT UNDER GROUP ACTION

Authors:

Amy Schmidt

Publisher:

Abdullah HARMANCI

Main Topics:

Mathematics

Journal:

International Electronic Journal of Algebra 2017 Vol.21 Issue 21, pp.39-54

Document Type:

Article

Publication Date:

1/2017

Document Language:

Turkish

Document ID (Org No.):

2000718071

Frequency:

Monthly

eISSN:

1306-6048

pISSN:

1306-6048

DOI:

https://doi.org/10.24330/ieja.295752

Abstract:

 


Let G be a subgroup of the automorphism group of a commutative
ring with identity T. Let R be a subring of T. We show that RG ⊂ T G
is a minimal ring extension whenever R ⊂ T is a minimal extension under
various assumptions. Of the two types of minimal ring extensions, integral
and integrally closed, both of these properties are passed from R ⊂ T to
RG ⊆ T G. An integrally closed minimal ring extension is a flat epimorphic
extension as well as a normal pair. We show that each of these properties also
pass from R ⊂ T to RG ⊆ T G under certain group action. 

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Article Details

PROPERTIES OF RING EXTENSIONS INVARIANT UNDER GROUP ACTION

Authors: Amy Schmidt

Publisher: Abdullah HARMANCI

Main Topics: Mathematics

Journal: International Electronic Journal of Algebra 2017 Vol.21 Issue 21, pp.39-54

Document Type: Article

Publication Date: 1/2017

Document Language: Turkish

Document ID (Org No.): 2000718071

Frequency: Monthly

eISSN: 1306-6048

pISSN: 1306-6048

DOI: https://doi.org/10.24330/ieja.295752

Issues

Authors:

Amy Schmidt

Publisher:

Abdullah HARMANCI

Main Topics:

Mathematics

Journal:

International Electronic Journal of Algebra 2017 Vol.21 Issue 21, pp.39-54

Document Type:

Article

Publication Date:

1/2017

Document Language:

Turkish

Document ID (Org No.):

2000718071

Frequency:

Monthly

eISSN:

1306-6048

pISSN:

1306-6048

DOI:

https://doi.org/10.24330/ieja.295752