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Homogeneous integral table algebras of degree three : a trilogy /
Homogeneous integral table algebras of degree three with a faithful real element. The algebras of the title are classified to exact isomorphism; that is, the sets of structure constants which arise from the given basis are completely determined. Other results describe all possible extensions (pre-im...
| Clasificación: | Libro Electrónico |
|---|---|
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, R.I. :
American Mathematical Society,
2000.
|
| Colección: | Memoirs of the American Mathematical Society ;
no. 684. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 245 | 0 | 0 | |a Homogeneous integral table algebras of degree three : |b a trilogy / |c Harvey I. Blau [and others]. |
| 260 | |a Providence, R.I. : |b American Mathematical Society, |c 2000. | ||
| 300 | |a 1 online resource (xi, 89 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society, |x 1947-6221 ; |v v. 684 | |
| 500 | |a "Volume 144, number 684 (second of 5 numbers)." | ||
| 504 | |a Includes bibliographical references. | ||
| 588 | 0 | |a Print version record. | |
| 520 | 8 | |a Homogeneous integral table algebras of degree three with a faithful real element. The algebras of the title are classified to exact isomorphism; that is, the sets of structure constants which arise from the given basis are completely determined. Other results describe all possible extensions (pre-images), with a faithful element which is not necessarily real, of certain simple homogeneous integral table algebras of degree three. On antisymmetric homogeneous integral table algebras of degree three. This paper determines the homogeneous integral table algebras of degree three in which the given basis has a faithful element and has no nontrivial elements that are either real (symmetric) or linear, and where an additional hypothesis is satisfied. It is shown that all such bases must occur as the set of orbit sums in the complex group algebra of a finite abelian group under the action of a fixed-point-free automorphism oforder three. Homogeneous integral table algebras of degree three with no nontrivial linear elements. The algebras of the title which also have a faithful element are determined to exact isomorphism. All of the simple homogeneous integral table algebras of degree three are displayed, and the commutative association schemes in which all the nondiagonal relations have valency three and where some relation defines a connected graph on the underlying set are classified up to algebraic isomorphism. | |
| 505 | 0 | 0 | |t I. Homogeneous integral table algebras of degree three with a faithful real element |t II. On antisymmetric homogeneous integral table algebras of degree three |t III. Homogeneous integral table algebras of degree three with no nontrivial linear elements. |
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Commutative algebra. | |
| 650 | 0 | |a Group rings. | |
| 650 | 6 | |a Algèbre commutative. | |
| 650 | 6 | |a Anneaux de groupes. | |
| 650 | 7 | |a Commutative algebra |2 fast | |
| 650 | 7 | |a Group rings |2 fast | |
| 700 | 1 | |a Blau, Harvey I., |d 1942- | |
| 758 | |i has work: |a Homogeneous integral table algebras of degree three (Text) |1 https://id.oclc.org/worldcat/entity/E39PCFXPgXcpXcJVYHhT4Y9KJP |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |t Homogeneous integral table algebras of degree three : |x 0065-9266 |z 9780821820216 |
| 830 | 0 | |a Memoirs of the American Mathematical Society ; |v no. 684. |x 0065-9266 | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3114421 |z Texto completo |
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