The Boolean algebra and central Galois algebras
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} and a set of subgroups of G, and a central Galois algebra Be w...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201007104 |
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| _version_ | 1832550053197119488 |
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| author | George Szeto Lianyong Xue |
| author_facet | George Szeto Lianyong Xue |
| author_sort | George Szeto |
| collection | DOAJ |
| description | 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} and a set of subgroups of G, and a central Galois algebra Be with a Galois subgroup of G is characterized for an e∈Ba. |
| format | Article |
| id | doaj-art-2cc30dc70c194ec69b5c0133b35dd025 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2001-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-2cc30dc70c194ec69b5c0133b35dd0252025-02-03T06:07:48ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-0128423724210.1155/S0161171201007104The Boolean algebra and central Galois algebrasGeorge Szeto0Lianyong Xue1Department of Mathematics, Bradley University, Peoria 61625, IL, USADepartment of Mathematics, Bradley University, Peoria 61625, IL, USALet 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} and a set of subgroups of G, and a central Galois algebra Be with a Galois subgroup of G is characterized for an e∈Ba.http://dx.doi.org/10.1155/S0161171201007104 |
| spellingShingle | George Szeto Lianyong Xue The Boolean algebra and central Galois algebras International Journal of Mathematics and Mathematical Sciences |
| title | The Boolean algebra and central Galois algebras |
| title_full | The Boolean algebra and central Galois algebras |
| title_fullStr | The Boolean algebra and central Galois algebras |
| title_full_unstemmed | The Boolean algebra and central Galois algebras |
| title_short | The Boolean algebra and central Galois algebras |
| title_sort | boolean algebra and central galois algebras |
| url | http://dx.doi.org/10.1155/S0161171201007104 |
| work_keys_str_mv | AT georgeszeto thebooleanalgebraandcentralgaloisalgebras AT lianyongxue thebooleanalgebraandcentralgaloisalgebras AT georgeszeto booleanalgebraandcentralgaloisalgebras AT lianyongxue booleanalgebraandcentralgaloisalgebras |