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## PROPERTIES OF RING EXTENSIONS INVARIANT UNDER GROUP ACTION

#### Amy Schmidt [1]

##### 259 191

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.

Fixed ring, ring of invariants
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Konular Matematik Makaleler Yazar: Amy Schmidt
 Bibtex @araştırma makalesi { ieja295752, journal = {International Electronic Journal of Algebra}, issn = {1306-6048}, eissn = {1306-6048}, address = {Prof. Dr. Abdullah HARMANCI}, year = {2017}, volume = {21}, pages = {39 - 54}, doi = {10.24330/ieja.295752}, title = {PROPERTIES OF RING EXTENSIONS INVARIANT UNDER GROUP ACTION}, key = {cite}, author = {Schmidt, Amy} } APA Schmidt, A . (2017). PROPERTIES OF RING EXTENSIONS INVARIANT UNDER GROUP ACTION. International Electronic Journal of Algebra, 21 (21), 39-54. DOI: 10.24330/ieja.295752 MLA Schmidt, A . "PROPERTIES OF RING EXTENSIONS INVARIANT UNDER GROUP ACTION". International Electronic Journal of Algebra 21 (2017): 39-54 Chicago Schmidt, A . "PROPERTIES OF RING EXTENSIONS INVARIANT UNDER GROUP ACTION". International Electronic Journal of Algebra 21 (2017): 39-54 RIS TY - JOUR T1 - PROPERTIES OF RING EXTENSIONS INVARIANT UNDER GROUP ACTION AU - Amy Schmidt Y1 - 2017 PY - 2017 N1 - doi: 10.24330/ieja.295752 DO - 10.24330/ieja.295752 T2 - International Electronic Journal of Algebra JF - Journal JO - JOR SP - 39 EP - 54 VL - 21 IS - 21 SN - 1306-6048-1306-6048 M3 - doi: 10.24330/ieja.295752 UR - http://dx.doi.org/10.24330/ieja.295752 Y2 - 2016 ER - EndNote %0 International Electronic Journal of Algebra PROPERTIES OF RING EXTENSIONS INVARIANT UNDER GROUP ACTION %A Amy Schmidt %T PROPERTIES OF RING EXTENSIONS INVARIANT UNDER GROUP ACTION %D 2017 %J International Electronic Journal of Algebra %P 1306-6048-1306-6048 %V 21 %N 21 %R doi: 10.24330/ieja.295752 %U 10.24330/ieja.295752 ISNAD Schmidt, Amy . "PROPERTIES OF RING EXTENSIONS INVARIANT UNDER GROUP ACTION". International Electronic Journal of Algebra 21 / 21 (Ocak 2017): 39-54. http://dx.doi.org/10.24330/ieja.295752