AbstractLet A1, A2 be algebras and let M:A1→A2, M∗:A2→A1 be maps. An elementary map of A1×A2 is an ordered pair (M,M∗) such that{M(AM∗(B)C)=M(A)BM(C),M∗(BM(A)D)=M∗(B)AM∗(D) for all A,C∈A1, B,D∈A2. In this paper, the general form of surjective elementary maps on standard subalgebras of nest algebras is described. In particular, such maps are automatically additive
Let ℛ be a 2-torsion free prime ring containing a non-trivial idempotent and ℛ′ be an arbitrary ring...
Let M and M' be Gamma rings, respectively. We study the additivity of surjective elementary maps of ...
Let ℜ and ℜ՛ be alternative rings. We study the additivity of surjective Jordan triple elementary ma...
AbstractLet A1, A2 be algebras and let M:A1→A2, M∗:A2→A1 be maps. An elementary map of A1×A2 is an o...
AbstractLet A be a standard subalgebra of a nest algebra on a Hilbert space of dimension greater tha...
AbstractLet A be a standard subalgebra of a nest algebra on a Hilbert space of dimension greater tha...
AbstractLet T be a triangular algebra and R′ be an arbitrary ring. Suppose that M:T→R′ and M∗:R′→T a...
AbstractIn this paper, we prove that a bijective map φ from A, a standard subalgebra of a nest algeb...
AbstractLet AlgN and AlgM be nest algebras associated with the nests N and M on Banach Spaces. Assum...
AbstractLet AlgN be a nest algebra associated with the nest N on a (real or complex) Banach space X....
AbstractLet R be a 2-torsion free prime ring containing a non-trivial idempotent and R′ be an arbitr...
Let ℜ and ℜ′ be alternative rings. In this article we investigate the additivity of surjective eleme...
AbstractThe algebraic equivalence and similarity classes of idempotents within a nest algebra Alg β ...
AbstractIn this paper we characterize linear mapsϕbetween two nest algebras T(N) and T(M) which sati...
Let ℛ be a 2-torsion free prime ring containing a non-trivial idempotent and ℛ′ be an arbitrary ring...
Let ℛ be a 2-torsion free prime ring containing a non-trivial idempotent and ℛ′ be an arbitrary ring...
Let M and M' be Gamma rings, respectively. We study the additivity of surjective elementary maps of ...
Let ℜ and ℜ՛ be alternative rings. We study the additivity of surjective Jordan triple elementary ma...
AbstractLet A1, A2 be algebras and let M:A1→A2, M∗:A2→A1 be maps. An elementary map of A1×A2 is an o...
AbstractLet A be a standard subalgebra of a nest algebra on a Hilbert space of dimension greater tha...
AbstractLet A be a standard subalgebra of a nest algebra on a Hilbert space of dimension greater tha...
AbstractLet T be a triangular algebra and R′ be an arbitrary ring. Suppose that M:T→R′ and M∗:R′→T a...
AbstractIn this paper, we prove that a bijective map φ from A, a standard subalgebra of a nest algeb...
AbstractLet AlgN and AlgM be nest algebras associated with the nests N and M on Banach Spaces. Assum...
AbstractLet AlgN be a nest algebra associated with the nest N on a (real or complex) Banach space X....
AbstractLet R be a 2-torsion free prime ring containing a non-trivial idempotent and R′ be an arbitr...
Let ℜ and ℜ′ be alternative rings. In this article we investigate the additivity of surjective eleme...
AbstractThe algebraic equivalence and similarity classes of idempotents within a nest algebra Alg β ...
AbstractIn this paper we characterize linear mapsϕbetween two nest algebras T(N) and T(M) which sati...
Let ℛ be a 2-torsion free prime ring containing a non-trivial idempotent and ℛ′ be an arbitrary ring...
Let ℛ be a 2-torsion free prime ring containing a non-trivial idempotent and ℛ′ be an arbitrary ring...
Let M and M' be Gamma rings, respectively. We study the additivity of surjective elementary maps of ...
Let ℜ and ℜ՛ be alternative rings. We study the additivity of surjective Jordan triple elementary ma...