AbstractLet F be either an algebraic number field or a p-adic field and A a central simple algebra over F. Suppose A is spanned by a multiplicative semigroup Γ⊂A with the property that the minimal polynomial of every g∈Γ splits over F. Then A represents the trivial class in the Brauer group of F
AbstractWe study the finite-dimensional central division algebras over the rational function field i...
AbstractFinding minimal fields of definition for representations of finite groups is one of the most...
Finite-Dimensional Division Algebras over fields determine, by the Wedderburn Theorem, the semi-simp...
AbstractLet F be either an algebraic number field or a p-adic field and A a central simple algebra o...
In this paper we show that every central simple algebra A over Qp, generated by a multiplicative sem...
Two dimensional Amitsur cohomology is computed for certain rings of quadratic algebraic integers. To...
Abstract. An algebra is a vector space V over a field k together with a k-bilinear product of vector...
In this paper we discuss the Brauer group of a field and its connections with cohomology groups. Def...
AbstractLet k be a field with algebraic closure k¯, G a semisimple algebraic k-group, and T⊂G×k¯ a m...
This paper presents a proof for the Brauer splitting theorem in the context of a commutative ring wi...
In this paper we discuss the Brauer group of a field and its connections with cohomology groups. Def...
Abstract: Let D and E be central division algebras over k; let K be the generic splitting field of E...
AbstractWe consider here a number of topics concerning the theory of division algebras over the func...
This monograph provides a systematic treatment of the Brauer group of schemes, from the foundational...
Let A be a central simple algebra over the field of rational functions in one variable over an arbit...
AbstractWe study the finite-dimensional central division algebras over the rational function field i...
AbstractFinding minimal fields of definition for representations of finite groups is one of the most...
Finite-Dimensional Division Algebras over fields determine, by the Wedderburn Theorem, the semi-simp...
AbstractLet F be either an algebraic number field or a p-adic field and A a central simple algebra o...
In this paper we show that every central simple algebra A over Qp, generated by a multiplicative sem...
Two dimensional Amitsur cohomology is computed for certain rings of quadratic algebraic integers. To...
Abstract. An algebra is a vector space V over a field k together with a k-bilinear product of vector...
In this paper we discuss the Brauer group of a field and its connections with cohomology groups. Def...
AbstractLet k be a field with algebraic closure k¯, G a semisimple algebraic k-group, and T⊂G×k¯ a m...
This paper presents a proof for the Brauer splitting theorem in the context of a commutative ring wi...
In this paper we discuss the Brauer group of a field and its connections with cohomology groups. Def...
Abstract: Let D and E be central division algebras over k; let K be the generic splitting field of E...
AbstractWe consider here a number of topics concerning the theory of division algebras over the func...
This monograph provides a systematic treatment of the Brauer group of schemes, from the foundational...
Let A be a central simple algebra over the field of rational functions in one variable over an arbit...
AbstractWe study the finite-dimensional central division algebras over the rational function field i...
AbstractFinding minimal fields of definition for representations of finite groups is one of the most...
Finite-Dimensional Division Algebras over fields determine, by the Wedderburn Theorem, the semi-simp...
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