JaLCDOI 10.18926/fest/11602
FullText URL 001_015_020.pdf
Author Nakajima, Atsushi|
Abstract Let A be a bialgebra and let S be a right A-comodule algebra which has an A-comodule subalgebra T with common identity. We show that if S is a separable extension of T, then for a left A-module algebra K, K♯S is a separable extension of K♯T. Similar result holds for left A-module algebras and right A-comodule algebras.
Keywords Separable extension smash product module algebra and comodule algebra
Publication Title 岡山大学環境理工学部研究報告
Published Date 1996-03
Volume volume1
Issue issue1
Start Page 15
End Page 20
ISSN 1341-9099
language 英語
File Version publisher
NAID 120002313954
JaLCDOI 10.18926/fest/11552
FullText URL 003_001_003.pdf
Author Nakajima, Atsushi|
Abstract The existence of a derivation in a near-ring is not known. We construct derivations on 2×2 matrix near-ring in the sense of [MW].
Keywords Near-ring matrix near-ring derivation
Publication Title 岡山大学環境理工学部研究報告
Published Date 1998-01-14
Volume volume3
Issue issue1
Start Page 1
End Page 3
ISSN 1341-9099
language 日本語
File Version publisher
NAID 120002313635
JaLCDOI 10.18926/fest/11451
FullText URL 009_027_036.pdf
Author Nakajima, Atsushi|
Abstract Let A/R be a ring extension and P a subset of Hom(A(R),A(R)). In his paper [5], K. Kishimoto introduced the notion of a P-Galois extension and gave several basic properties of these extensions. The author showed that these extensions are closely related to Hopf Galois extensions and the structure of quadratic or cubic P-Galois extensions over a field were given in [9] and [10]. Recently,the author classify commutative quartic P-Galois extensions over a field of characteristic not 2 in [11]. Continuing [11], we treat commutative quartic P-Galois extensions over a field of characteristic 2.
Keywords Cyclic extension P-Galois extension Hopf Galois extension
Publication Title 岡山大学環境理工学部研究報告
Published Date 2004-02-27
Volume volume9
Issue issue1
Start Page 27
End Page 36
ISSN 1341-9099
language 英語
File Version publisher
NAID 120002313989