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 m...
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2007 |
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут прикладної математики і механіки НАН України
2007
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/157356 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862687732876181504 |
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| author | Fujita, H. Sakai, Y. Simson, D. |
| author_facet | Fujita, H. Sakai, Y. Simson, D. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
|
| first_indexed | 2025-12-07T16:06:33Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-157356 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T16:06:33Z |
| publishDate | 2007 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Fujita, H. Sakai, Y. Simson, D. 2019-06-20T02:46:10Z 2019-06-20T02:46:10Z 2007 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. https://nasplib.isofts.kiev.ua/handle/123456789/157356 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. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics On Frobenius full matrix algebras with structure systems Article published earlier |
| spellingShingle | On Frobenius full matrix algebras with structure systems Fujita, H. Sakai, Y. Simson, D. |
| title | 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_short | On Frobenius full matrix algebras with structure systems |
| title_sort | on frobenius full matrix algebras with structure systems |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/157356 |
| work_keys_str_mv | AT fujitah onfrobeniusfullmatrixalgebraswithstructuresystems AT sakaiy onfrobeniusfullmatrixalgebraswithstructuresystems AT simsond onfrobeniusfullmatrixalgebraswithstructuresystems |