Results 211 to 220 of about 435,085 (248)
Some of the next articles are maybe not open access.
Related searches:
Related searches:
1995
Up to now we have not considered the possibility of multiplying two vectors to obtain another vector, though we have noted that this is possible in certain cases. For example, we can multiply elements of the vector space ℳ n×n (F) over a field F. A vector space V over a field F is an algebra over F if and only if there exists a bilinear transformation (
openaire +1 more source
Up to now we have not considered the possibility of multiplying two vectors to obtain another vector, though we have noted that this is possible in certain cases. For example, we can multiply elements of the vector space ℳ n×n (F) over a field F. A vector space V over a field F is an algebra over F if and only if there exists a bilinear transformation (
openaire +1 more source
2010
18.1. Let us first recall the notion of an algebra over a field that we introduced in §11.1. By an algebra over a field F, or simply by an F -algebra, we understand an associative ring A which is also a vector space over F such that \((ax)(by)=abxy\) for \(\,a,\,b\in F\) and \(\,x,\,y\in A.\) If A has an identity element, we denote it by \(1_A,\) or ...
openaire +1 more source
18.1. Let us first recall the notion of an algebra over a field that we introduced in §11.1. By an algebra over a field F, or simply by an F -algebra, we understand an associative ring A which is also a vector space over F such that \((ax)(by)=abxy\) for \(\,a,\,b\in F\) and \(\,x,\,y\in A.\) If A has an identity element, we denote it by \(1_A,\) or ...
openaire +1 more source
Algebraic Curves over a Finite Field
2008data pubblicazione maggio ...
HIRSCHFELD J. W. P +2 more
openaire +1 more source
1967
In this Chapter, k will be an A-field; we use all the notations introduced for such fields in earlier Chapters, such as k A , k v , r v , etc. We shall be principally concerned with a simple algebra A over k; as stipulated in Chapter IX, it is always understood that A is central, i. e. that its center is k, and that it has a finite dimension over k; by
openaire +1 more source
In this Chapter, k will be an A-field; we use all the notations introduced for such fields in earlier Chapters, such as k A , k v , r v , etc. We shall be principally concerned with a simple algebra A over k; as stipulated in Chapter IX, it is always understood that A is central, i. e. that its center is k, and that it has a finite dimension over k; by
openaire +1 more source
Tensor product of algebras over a field
2010This review paper deals with tensor products of algebras over a field. Let k be a field and A, B be commutative k-algebras. We consider the following question: “Which properties of A and B are conveyed to the k-algebra A⊗ k B?”. This field is still developing and many contexts are yet to be explored.
Hassan Haghighi +2 more
openaire +1 more source
Cyclic algebras over a multidimensional local field
Journal of Soviet Mathematics, 1993zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
QUANDLE G-ALGEBRA OVER A FIELD
JP Journal of Algebra, Number Theory and Applications, 2020Alghamdi, Ahmad M., Alfadhli, Amani M.
openaire +2 more sources
Semi-Simple Algebraic Groups Defined Over a Real Closed Field
American Journal of Mathematics, 1972Introduction. In this paper, we extend some of the classical theory of semi-simple algebraic groups and Lie algebras over the real numbers to an arbitrary real closed field. The existence of a Cartan decomposition for a semi-simple Lie algebra over a real closed field k is shown in ? 2.
openaire +2 more sources