Add to ORKGAbstract. This paper is concerned with the problem of determining the number of division algebras which share the same collection of finite splitting fields. As a corollary we are able to determine when two central division algebras may be distinguished by their finite splitting fields over certain fields. 1
Abstract. Let A be a finite-dimensional division algebra containing a base field k in its center F. ...
Abstract. Wedderburn’s first proof of his theorem on finite division algebras contains a gap. We ana...
Rehmann U, Stuhler U. On K 2 of finite dimensional division algebras over arithmetical fields. Inven...
Finite nonassociative division algebras (i.e., finite semifields) with 243 elements are completely c...
AbstractFinite nonassociative division algebras (i.e., finite semifields) with 243 elements are comp...
AbstractThe theory of division algebras (of finite dimension over the center) is reduced to an appli...
AbstractThe theory of division algebras (of finite dimension over the center) is reduced to an appli...
AbstractA review of the known facts about division algebras of small dimensions over finite fields i...
We present a short and rather self-contained introduction to the theory of finite dimensional divisi...
We present a short and rather self-contained introduction to the theory of finite dimensional divisi...
In this paper, we describe an elementary method for counting the number of non-isomorphic algebras o...
We examine when division algebras can share common splitting fields of certain types. In particular,...
For a given field F we seek all division algebras over F up to isomorphism. This question was first ...
In this paper we study some special classes of division algebras over a Laurent series field with ar...
Abstract. Given a field F, an étale extension L/F and an Azumaya algebra A/L, one knows that there a...
Abstract. Let A be a finite-dimensional division algebra containing a base field k in its center F. ...
Abstract. Wedderburn’s first proof of his theorem on finite division algebras contains a gap. We ana...
Rehmann U, Stuhler U. On K 2 of finite dimensional division algebras over arithmetical fields. Inven...
Finite nonassociative division algebras (i.e., finite semifields) with 243 elements are completely c...
AbstractFinite nonassociative division algebras (i.e., finite semifields) with 243 elements are comp...
AbstractThe theory of division algebras (of finite dimension over the center) is reduced to an appli...
AbstractThe theory of division algebras (of finite dimension over the center) is reduced to an appli...
AbstractA review of the known facts about division algebras of small dimensions over finite fields i...
We present a short and rather self-contained introduction to the theory of finite dimensional divisi...
We present a short and rather self-contained introduction to the theory of finite dimensional divisi...
In this paper, we describe an elementary method for counting the number of non-isomorphic algebras o...
We examine when division algebras can share common splitting fields of certain types. In particular,...
For a given field F we seek all division algebras over F up to isomorphism. This question was first ...
In this paper we study some special classes of division algebras over a Laurent series field with ar...
Abstract. Given a field F, an étale extension L/F and an Azumaya algebra A/L, one knows that there a...
Abstract. Let A be a finite-dimensional division algebra containing a base field k in its center F. ...
Abstract. Wedderburn’s first proof of his theorem on finite division algebras contains a gap. We ana...
Rehmann U, Stuhler U. On K 2 of finite dimensional division algebras over arithmetical fields. Inven...