Conţinutul numărului revistei |
Articolul precedent |
Articolul urmator |
586 4 |
Ultima descărcare din IBN: 2021-10-09 11:36 |
Căutarea după subiecte similare conform CZU |
512 (930) |
Алгебра (400) |
SM ISO690:2012 MOLDOVYAN, Alexandr. General Method for Defining Finite Non-commutative Associative Algebras of Dimension m > 1. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2018, nr. 2(87), pp. 95-100. ISSN 1024-7696. |
EXPORT metadate: Google Scholar Crossref CERIF DataCite Dublin Core |
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
Numărul 2(87) / 2018 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
|
||||||
CZU: 512 | ||||||
MSC 2010: 94A60, 16Z05, 14G50, 11T71, 16S50. | ||||||
Pag. 95-100 | ||||||
|
||||||
Descarcă PDF | ||||||
Rezumat | ||||||
General method for defining non-commutative finite associative algebras of arbitrary dimension m ≥ 2 is discussed. General formulas describing local unit elements (the right-, left-, and bi-side ones), square roots of zero and zero divisors are derived. For arbitrary value m the single bi-side unit corresponds to every element of the algebra, except the square roots from zero. Various modifications of the multiplication operation can be assigned using different sets of the values of structural coefficients. It is proved that all of the modifications are mutually associative.. |
||||||
Cuvinte-cheie finite associative algebra, non-commutative algebra, structural coefficient, mutual associativity, local unit. |
||||||
|