On The Length of Decompositions of Central Simple Algebras in Tensor Products of Symbols

Methods in Ring Theory ◽

10.1007/978-94-009-6369-6_36 ◽

1984 ◽

pp. 505-516 ◽

Cited By ~ 2

Author(s):

J.-P. Tignol

Keyword(s):

Tensor Products ◽

Central Simple Algebras ◽

Simple Algebras ◽

Central Simple

Conjugation of elements in central simple algebras

Communications in Algebra ◽

10.1080/00927872.2016.1233188 ◽

2016 ◽

Vol 45 (5) ◽

pp. 2047-2051

Author(s):

Oliver Villa

Keyword(s):

Central Simple Algebras ◽

Simple Algebras ◽

Central Simple

The Essential Dimension of Central Simple Algebras

Springer Monographs in Mathematics - Value Functions on Simple Algebras, and Associated Graded Rings ◽

10.1007/978-3-319-16360-4_12 ◽

2015 ◽

pp. 561-584

Author(s):

Jean-Pierre Tignol ◽

Adrian R. Wadsworth

Keyword(s):

Essential Dimension ◽

Central Simple Algebras ◽

Simple Algebras ◽

Central Simple

Invertibility preservers on central simple algebras

Journal of Algebra ◽

10.1016/j.jalgebra.2014.03.012 ◽

2014 ◽

Vol 408 ◽

pp. 42-60 ◽

Cited By ~ 2

Author(s):

Peter Šemrl

Keyword(s):

Central Simple Algebras ◽

Simple Algebras ◽

Central Simple

Generation of separable and central simple algebras

Nathan Jacobson Collected Mathematical Papers ◽

10.1007/978-1-4612-3694-8_21 ◽

1989 ◽

pp. 299-309

Author(s):

N. Jacobson

Keyword(s):

Central Simple Algebras ◽

Simple Algebras ◽

Central Simple

The Group of Classes of Involutions of Graded Central Simple Algebras

Clifford Algebras ◽

10.1007/978-1-4612-2044-2_21 ◽

2004 ◽

pp. 335-341

Author(s):

Jacques Helmstetter

Keyword(s):

Central Simple Algebras ◽

Simple Algebras ◽

Central Simple

Splitting fields of central simple algebras of exponent two

Journal of Pure and Applied Algebra ◽

10.1016/j.jpaa.2016.04.009 ◽

2016 ◽

Vol 220 (10) ◽

pp. 3450-3453 ◽

Cited By ~ 1

Author(s):

Karim Johannes Becher

Keyword(s):

Central Simple Algebras ◽

Simple Algebras ◽

Central Simple

Orthogonal involutions on central simple algebras and function fields of Severi–Brauer varieties

Advances in Mathematics ◽

10.1016/j.aim.2018.07.030 ◽

2018 ◽

Vol 336 ◽

pp. 455-476

Author(s):

Anne Quéguiner-Mathieu ◽

Jean-Pierre Tignol

Keyword(s):

Function Fields ◽

Central Simple Algebras ◽

Simple Algebras ◽

Central Simple ◽

And Function

Locally Finite Central Simple Algebras

Algebras and Representation Theory ◽

10.1007/s10468-021-10103-4 ◽

2021 ◽

Author(s):

Tamar Bar-On ◽

Shira Gilat ◽

Eliyahu Matzri ◽

Uzi Vishne

Keyword(s):

Central Simple Algebras ◽

Locally Finite ◽

Simple Algebras ◽

Central Simple

Central Simple Algebras

Ring Theory, 83 ◽

10.1016/b978-0-08-092548-6.50014-3 ◽

1991 ◽

pp. 497-518

Author(s):

Louis H. Rowen

Keyword(s):

Central Simple Algebras ◽

Simple Algebras ◽

Central Simple

Splitting of Algebras by Function Fields of One Variable

Nagoya Mathematical Journal ◽

10.1017/s0027763000026441 ◽

1966 ◽

Vol 27 (2) ◽

pp. 625-642 ◽

Cited By ~ 14

Author(s):

Peter Roquette

Keyword(s):

Tensor Product ◽

Function Fields ◽

Central Simple Algebra ◽

Simple Algebra ◽

Field Extension ◽

Brauer Group ◽

Central Simple Algebras ◽

Natural Mapping ◽

Simple Algebras ◽

Central Simple

Let K be a field and (K) the Brauer group of K. It consists of the similarity classes of finite central simple algebras over K. For any field extension F/K there is a natural mapping (K) → (F) which is obtained by assigning to each central simple algebra A/K the tensor product which is a central simple algebra over F. The kernel of this map is the relative Brauer group (F/K), consisting of those A ∈(K) which are split by F.