On Frobenius full matrix algebras with structure systems
Let n ≥ 2 be an integer. In [5] and [6], an n × n A-full matrix algebra over a field K is defined to be the set Mn(K) of all square n × n matrices with coefficients in K equipped with a multiplication defined by a structure system A, that is, an n-tuple of n × n matrices with certain properties....
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| Дата: | 2007 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2007
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/157356 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | On Frobenius full matrix algebras with structure systems / H. Fujita, Y. Sakai, D. Simson // Algebra and Discrete Mathematics. — 2007. — Vol. 6, № 1. — С. 24–39. — Бібліогр.: 13 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-157356 |
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| record_format |
dspace |
| spelling |
irk-123456789-1573562019-06-21T01:27:44Z On Frobenius full matrix algebras with structure systems Fujita, H. Sakai, Y. Simson, D. Let n ≥ 2 be an integer. In [5] and [6], an n × n A-full matrix algebra over a field K is defined to be the set Mn(K) of all square n × n matrices with coefficients in K equipped with a multiplication defined by a structure system A, that is, an n-tuple of n × n matrices with certain properties. In [5] and [6], mainly A-full matrix algebras having (0, 1)-structure systems are studied, that is, the structure systems A such that all entries are 0 or 1. In the present paper we study A-full matrix algebras having non (0, 1)-structure systems. In particular, we study the Frobenius Afull matrix algebras. Several infinite families of such algebras with nice properties are constructed in Section 4. 2007 Article On Frobenius full matrix algebras with structure systems / H. Fujita, Y. Sakai, D. Simson // Algebra and Discrete Mathematics. — 2007. — Vol. 6, № 1. — С. 24–39. — Бібліогр.: 13 назв. — англ. 1726-3255 2000 Mathematics Subject Classification: 16G10, 16G30, 16G60. http://dspace.nbuv.gov.ua/handle/123456789/157356 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
Let n ≥ 2 be an integer. In [5] and [6], an n × n
A-full matrix algebra over a field K is defined to be the set Mn(K)
of all square n × n matrices with coefficients in K equipped with a
multiplication defined by a structure system A, that is, an n-tuple
of n × n matrices with certain properties. In [5] and [6], mainly
A-full matrix algebras having (0, 1)-structure systems are studied,
that is, the structure systems A such that all entries are 0 or 1.
In the present paper we study A-full matrix algebras having non
(0, 1)-structure systems. In particular, we study the Frobenius Afull matrix algebras. Several infinite families of such algebras with
nice properties are constructed in Section 4. |
| format |
Article |
| author |
Fujita, H. Sakai, Y. Simson, D. |
| spellingShingle |
Fujita, H. Sakai, Y. Simson, D. On Frobenius full matrix algebras with structure systems Algebra and Discrete Mathematics |
| author_facet |
Fujita, H. Sakai, Y. Simson, D. |
| author_sort |
Fujita, H. |
| title |
On Frobenius full matrix algebras with structure systems |
| title_short |
On Frobenius full matrix algebras with structure systems |
| title_full |
On Frobenius full matrix algebras with structure systems |
| title_fullStr |
On Frobenius full matrix algebras with structure systems |
| title_full_unstemmed |
On Frobenius full matrix algebras with structure systems |
| title_sort |
on frobenius full matrix algebras with structure systems |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2007 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/157356 |
| citation_txt |
On Frobenius full matrix algebras with structure systems / H. Fujita, Y. Sakai, D. Simson // Algebra and Discrete Mathematics. — 2007. — Vol. 6, № 1. — С. 24–39. — Бібліогр.: 13 назв. — англ. |
| series |
Algebra and Discrete Mathematics |
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AT fujitah onfrobeniusfullmatrixalgebraswithstructuresystems AT sakaiy onfrobeniusfullmatrixalgebraswithstructuresystems AT simsond onfrobeniusfullmatrixalgebraswithstructuresystems |
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2023-05-20T17:52:02Z |
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2023-05-20T17:52:02Z |
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