We obtain the general form of continuous injective maps on Mn(R), n > 3, that preserve commutativity
summary:Let $\mathcal {N}=N_n(R)$ be the algebra of all $n\times n$ strictly upper triangular matric...
summary:Let $\mathcal {N}=N_n(R)$ be the algebra of all $n\times n$ strictly upper triangular matric...
AbstractLet Mn(K) be the ring of all n×n matrices over a field K. We describe additive maps G:Mn(K)→...
We obtain the general form of continuous injective maps on Mn(R), n > 3, that preserve commutativity
Abstract. We obtain the general form of continuous injective maps on Mn(R), n> 3, that preserve c...
AbstractWe briefly describe several techniques that have been developed to solve the problem of char...
AbstractCommutativity-preserving maps on the real space of all real symmetric or complex self-adjoin...
AbstractThe general form of a continuous mapping φ acting on the real vector space of all n × n comp...
AbstractCommutativity-preserving maps on the real space of all real symmetric or complex self-adjoin...
AbstractLet Mn be the algebra of all n×n matrices over a commutative unital ring C, and let L be a C...
AbstractLet Mn be the algebra of all n×n complex matrices and Pn the set of all idempotents in Mn. S...
AbstractLet Mn be the algebra of all n×n matrices over a commutative unital ring C, and let L be a C...
AbstractLet x0∈Cn be a nonzero vector. We prove that if a linear map φ:Mn(C)→Mn(C) preserves the loc...
AbstractLet ø: Mn → Mn, n ⩾ 3, be a continuous mapping preserving spectrum and commutativity in both...
AbstractLet R be a connected commutative ring with identity 1 (R contains no idempotents except 0 an...
summary:Let $\mathcal {N}=N_n(R)$ be the algebra of all $n\times n$ strictly upper triangular matric...
summary:Let $\mathcal {N}=N_n(R)$ be the algebra of all $n\times n$ strictly upper triangular matric...
AbstractLet Mn(K) be the ring of all n×n matrices over a field K. We describe additive maps G:Mn(K)→...
We obtain the general form of continuous injective maps on Mn(R), n > 3, that preserve commutativity
Abstract. We obtain the general form of continuous injective maps on Mn(R), n> 3, that preserve c...
AbstractWe briefly describe several techniques that have been developed to solve the problem of char...
AbstractCommutativity-preserving maps on the real space of all real symmetric or complex self-adjoin...
AbstractThe general form of a continuous mapping φ acting on the real vector space of all n × n comp...
AbstractCommutativity-preserving maps on the real space of all real symmetric or complex self-adjoin...
AbstractLet Mn be the algebra of all n×n matrices over a commutative unital ring C, and let L be a C...
AbstractLet Mn be the algebra of all n×n complex matrices and Pn the set of all idempotents in Mn. S...
AbstractLet Mn be the algebra of all n×n matrices over a commutative unital ring C, and let L be a C...
AbstractLet x0∈Cn be a nonzero vector. We prove that if a linear map φ:Mn(C)→Mn(C) preserves the loc...
AbstractLet ø: Mn → Mn, n ⩾ 3, be a continuous mapping preserving spectrum and commutativity in both...
AbstractLet R be a connected commutative ring with identity 1 (R contains no idempotents except 0 an...
summary:Let $\mathcal {N}=N_n(R)$ be the algebra of all $n\times n$ strictly upper triangular matric...
summary:Let $\mathcal {N}=N_n(R)$ be the algebra of all $n\times n$ strictly upper triangular matric...
AbstractLet Mn(K) be the ring of all n×n matrices over a field K. We describe additive maps G:Mn(K)→...