Semantic Scholar
Open Access
2005
6 sitasi
The Endomorphism Ring Theorem for Galois and D2 extensions
L. Kadison
Abstrak
Let $S$ be the left bialgebroid $\End {}_BA_B$ over the centralizer $R$ of a right D2 algebra extension $A \| B$, which is to say that its tensor-square is isomorphic as $A$-$B$-bimodules to a direct summand of a finite direct sum of $A$ with itself. We prove that its left endomorphism algebra is a left $S$-Galois extension of $A^{\rm op}$. As a corollary, endomorphism ring theorems for D2 and Galois extensions are derived from the D2 characterization of Galois extension (cf. math.QA/0502188 and math.QA/0409589). We note the converse that a Frobenius extension satisfying a generator condition is D2 if its endomorphism algebra extension is D2.
Topik & Kata Kunci
Penulis (1)
L
L. Kadison
Akses Cepat
PDF tidak tersedia langsung
Cek di sumber asli →Informasi Jurnal
- Tahun Terbit
- 2005
- Bahasa
- en
- Total Sitasi
- 6×
- Sumber Database
- Semantic Scholar
- Akses
- Open Access ✓