[[abstract]]Let Mn(F) be the algebra of n×n matrices over a field F, and let A∈Mn(F) have characteristic polynomial c(x)=p1(x)p2(x)⋯pr(x) where p1(x),…,pr(x) are distinct and irreducible in F[x]. Let X be a subalgebra of Mn(F) containing A. Under a mild hypothesis on the pi(x), we find a necessary and sufficient condition for X to be Mn(F).[[notice]]補正完畢[[journaltype]]國外[[incitationindex]]SCI[[booktype]]紙本[[countrycodes]]US
AbstractLet F be any field and let B a matrix of Fq×p. Zaballa found necessary and sufficient condit...
AbstractWe present several extensions of Burnside’s well-known theorem which states that the only ir...
We obtain a new class of polynomial identities on the ring of n n matrices over any commutative rin...
AbstractLet Mn(F) be the algebra of n×n matrices over a field F, and let A∈Mn(F) have characteristic...
AbstractLet A be a subalgebra of the full matrix algebra Mn(F), and suppose J∈A, where J is the Jord...
AbstractLet F be any field. Let A11 be a matrix of Fp×p and let f be a monic polynomial of F[x] of d...
AbstractLet F be a field of characteristic zero, and let Mn(F) be the algebra of n × n matrices over...
AbstractThis note is concerned with the following problem: For a given matrix A∈Cn×n and a vector a∈...
AbstractLet Mn(F) be the space of all n×n matrices over a field F of characteristic not 2, and let P...
[[abstract]]Let K be a full, pointed closed cone in a finite dimensional real vector space. For any ...
AbstractLet F be an algebraically closed field, and x1,…,xm be commuting indeterminates over F. For ...
AbstractLet f,g∈Z[X] be monic polynomials of degree n and let C,D∈Mn(Z) be the corresponding compani...
Let [A 1,..., A m] be a set of m matrices of size n_n over the field F such that A i # SL(n, F) for ...
AbstractWe provide a concrete description of some factor rings of the polynomial ring k[X], k a fiel...
AbstractLet λ be any element in an algebraically closed field F of characteristic not 2, and let M :...
AbstractLet F be any field and let B a matrix of Fq×p. Zaballa found necessary and sufficient condit...
AbstractWe present several extensions of Burnside’s well-known theorem which states that the only ir...
We obtain a new class of polynomial identities on the ring of n n matrices over any commutative rin...
AbstractLet Mn(F) be the algebra of n×n matrices over a field F, and let A∈Mn(F) have characteristic...
AbstractLet A be a subalgebra of the full matrix algebra Mn(F), and suppose J∈A, where J is the Jord...
AbstractLet F be any field. Let A11 be a matrix of Fp×p and let f be a monic polynomial of F[x] of d...
AbstractLet F be a field of characteristic zero, and let Mn(F) be the algebra of n × n matrices over...
AbstractThis note is concerned with the following problem: For a given matrix A∈Cn×n and a vector a∈...
AbstractLet Mn(F) be the space of all n×n matrices over a field F of characteristic not 2, and let P...
[[abstract]]Let K be a full, pointed closed cone in a finite dimensional real vector space. For any ...
AbstractLet F be an algebraically closed field, and x1,…,xm be commuting indeterminates over F. For ...
AbstractLet f,g∈Z[X] be monic polynomials of degree n and let C,D∈Mn(Z) be the corresponding compani...
Let [A 1,..., A m] be a set of m matrices of size n_n over the field F such that A i # SL(n, F) for ...
AbstractWe provide a concrete description of some factor rings of the polynomial ring k[X], k a fiel...
AbstractLet λ be any element in an algebraically closed field F of characteristic not 2, and let M :...
AbstractLet F be any field and let B a matrix of Fq×p. Zaballa found necessary and sufficient condit...
AbstractWe present several extensions of Burnside’s well-known theorem which states that the only ir...
We obtain a new class of polynomial identities on the ring of n n matrices over any commutative rin...
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