Zobrazeno 1 - 10
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pro vyhledávání: '"George Szeto"'
Autor:
George Szeto, Lianyong Xue
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2003, Iss 11, Pp 673-679 (2003)
Let B be a Galois algebra with Galois group G, Jg={b∈B|bx=g(x)b for all x∈B} for each g∈G, and BJg=Beg for a central idempotent eg, Ba the Boolean algebra generated by {0,eg|g∈G}, e a nonzero element in Ba, and He={g∈G|eeg=e}. Then, a monom
Externí odkaz:
https://doaj.org/article/ac9b159906be45759e5c471febd86f1d
Autor:
George Szeto, Lianyong Xue
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2003, Iss 64, Pp 4033-4039 (2003)
Let H be a finite-dimensional Hopf algebra over a field K, H* the dual Hopf algebra of H, and B a right H*-Galois and Hirata separable extension of BH. Then B is characterized in terms of the commutator subring VB(BH) of BH in B and the smash product
Externí odkaz:
https://doaj.org/article/7cda11ad65fe43908d9ae3f9a0749835
Autor:
George Szeto, Lianyong Xue
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2003, Iss 26, Pp 1627-1632 (2003)
Externí odkaz:
https://doaj.org/article/9652e1b5c38c4c22b608f0bb9bf81bd2
Autor:
George Szeto, Lianyong Xue
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 31, Iss 1, Pp 37-42 (2002)
Let B be a Galois algebra over a commutative ring R with Galois group G, C the center of B, K={g∈G|g(c)=c for all c∈C}, Jg{b∈B|bx=g(x)b for all x∈B} for each g∈K, and BK=(⊕∑g∈K Jg). Then BK is a central weakly Galois algebra with Galo
Externí odkaz:
https://doaj.org/article/8019cd7a44604057857f3d20cf447200
Autor:
George Szeto, Lianyong Xue
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 29, Iss 7, Pp 375-380 (2002)
Let B be a Galois algebra with Galois group G, Jg={b∈B|bx=g(x)b for all x∈B} for each g∈G, eg the central idempotent such that BJg=Beg, and eK=∑g∈K,eg≠1eg for a subgroup K of G. Then BeK is a Galois extension with the Galois group G(eK)(=
Externí odkaz:
https://doaj.org/article/73eb842cf4f841e196d86fc421fd95b4
Autor:
George Szeto, Lianyong Xue
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 28, Iss 4, Pp 237-242 (2001)
Let B be a Galois algebra with Galois group G, Jg={b∈B∣bx=g(x)b for all x∈B} for g∈G, and BJg=Beg for a central idempotent eg. Then a relation is given between the set of elements in the Boolean algebra (Ba,≤) generated by {0,eg∣g∈G} an
Externí odkaz:
https://doaj.org/article/2cc30dc70c194ec69b5c0133b35dd025
Autor:
George Szeto, Lianyong Xue
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 25, Iss 7, Pp 489-495 (2001)
Let B be a ring with 1, C the center of B, G a finite automorphism group of B, and BG the set of elements in B fixed under each element in G. Then, the notion of a center Galois extension of BG with Galois group G (i.e., C is a Galois algebra over CG
Externí odkaz:
https://doaj.org/article/587ca605185f4651b4d04a3241a7afd2
Autor:
George Szeto, Lianyong Xue
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 26, Iss 12, Pp 753-758 (2001)
Let B be a ring with 1, C the center of B, and G a finite automorphism group of B. It is shown that if B is an Azumaya algebra such that B=⊕∑g∈GJg where Jg={b∈B|bx=g(x)b for all x∈B}, then there exist orthogonal central idempotents {fi∈C|
Externí odkaz:
https://doaj.org/article/a5516eb837a24540b53052004ebfb5a5
Autor:
George Szeto, Lianyong Xue
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 25, Iss 5, Pp 315-321 (2001)
Relations between the following classes of Galois extensions are given: (1) centrally projective Galois extensions (CP-Galois extensions), (2) faithfully Galois extensions, and (3) H-separable Galois extensions. Moreover, it is shown that the interse
Externí odkaz:
https://doaj.org/article/18f023bc492f4d67b1d4e82efc0a2b34
Autor:
George Szeto, Lianyong Xue
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 23, Iss 11, Pp 753-758 (2000)
Let B be a ring with 1, C the center of B, G a finite automorphism group of B, and BG the set of elements in B fixed under each element in G. Then, it is shown that B is a center Galois extension of BG (that is, C is a Galois algebra over CG with Gal
Externí odkaz:
https://doaj.org/article/ced34f864f7c46a4a4e0c1706fd9571c