Antonio Behn | Universidad de Chile (original) (raw)

Antonio Behn

Address: Santiago, Chile

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Papers by Antonio Behn

Research paper thumbnail of A Class of Locally Nilpotent Commutative Algebras

International Journal of Algebra and Computation, 2011

This paper deals with the variety of commutative nonassociative algebras satisfying the identity L 3

Research paper thumbnail of Groups with bounded representation degree

Communications in Algebra, 2000

Let G be a group and let K be a field of characteristic p > 0. If all irreducible representations... more Let G be a group and let K be a field of characteristic p > 0. If all irreducible representations of the group algebra K[G] have finite degree ≤ n, then we show that G has a subgroup A with |G :

Research paper thumbnail of Examples of Commutative Right-Nilalgebras Over Small Fields

Communications in Algebra, 2007

Research paper thumbnail of Polycyclic Group Rings Whose Principal Ideals Are Projective

Research paper thumbnail of The EigenProblem for Some Special Near-Toeplitz Centro-Skew Tridiagonal Matrices

Let nge2n\ge 2nge2 be an integer. Let RnR_nRn denote the ntimesnn\times nntimesn tridiagonal matrix with −1-11's on th... more Let nge2n\ge 2nge2 be an integer. Let RnR_nRn denote the ntimesnn\times nntimesn tridiagonal matrix with −1-11's on the sub-diagonal, 111's on the super-diagonal, −1-11 in the (1,1)(1,1)(1,1) entry, 111 in the (n,n)(n,n)(n,n) entry and zeros elsewhere. We find the eigen-pairs of the matrices RnR_nRn.

Research paper thumbnail of The EigenProblem for Some Special Near-Toeplitz Centro-Skew Tridiagonal Matrices

Let nge2n\ge 2nge2 be an integer. Let RnR_nRn denote the ntimesnn\times nntimesn tridiagonal matrix with −1-11's on th... more Let nge2n\ge 2nge2 be an integer. Let RnR_nRn denote the ntimesnn\times nntimesn tridiagonal matrix with −1-11's on the sub-diagonal, 111's on the super-diagonal, −1-11 in the (1,1)(1,1)(1,1) entry, 111 in the (n,n)(n,n)(n,n) entry and zeros elsewhere. We find the eigen-pairs of the matrices RnR_nRn.

Research paper thumbnail of Semiprimality and Nilpotency of Nonassociative Rings Satisfying x(yz) = y(zx

Communications in Algebra, 2008

Research paper thumbnail of Some nilpotent, tridiagonal matrices with a special sign pattern

Linear Algebra and Its Applications

We prove that for each n 2 there is a nilpotent n × n tridiagonal matrix satisfying (a) The super... more We prove that for each n 2 there is a nilpotent n × n tridiagonal matrix satisfying (a) The super-diagonal is positive. (b) The sub-diagonal is negative.

Research paper thumbnail of Idempotents in plenary train algebras

Journal of Algebra, 2010

In this paper we study plenary train algebras. We show that for most parameter choices of the tra... more In this paper we study plenary train algebras. We show that for most parameter choices of the train identity, the additional identity (x 2 − ω(x)x) 2 = 0 is satisfied. In this case we prove that it has idempotents.

Research paper thumbnail of A Class of Locally Nilpotent Commutative Algebras

International Journal of Algebra and Computation, 2011

This paper deals with the variety of commutative nonassociative algebras satisfying the identity L 3

Research paper thumbnail of Groups with bounded representation degree

Communications in Algebra, 2000

Let G be a group and let K be a field of characteristic p > 0. If all irreducible representations... more Let G be a group and let K be a field of characteristic p > 0. If all irreducible representations of the group algebra K[G] have finite degree ≤ n, then we show that G has a subgroup A with |G :

Research paper thumbnail of Examples of Commutative Right-Nilalgebras Over Small Fields

Communications in Algebra, 2007

Research paper thumbnail of Polycyclic Group Rings Whose Principal Ideals Are Projective

Research paper thumbnail of The EigenProblem for Some Special Near-Toeplitz Centro-Skew Tridiagonal Matrices

Let nge2n\ge 2nge2 be an integer. Let RnR_nRn denote the ntimesnn\times nntimesn tridiagonal matrix with −1-11's on th... more Let nge2n\ge 2nge2 be an integer. Let RnR_nRn denote the ntimesnn\times nntimesn tridiagonal matrix with −1-11's on the sub-diagonal, 111's on the super-diagonal, −1-11 in the (1,1)(1,1)(1,1) entry, 111 in the (n,n)(n,n)(n,n) entry and zeros elsewhere. We find the eigen-pairs of the matrices RnR_nRn.

Research paper thumbnail of The EigenProblem for Some Special Near-Toeplitz Centro-Skew Tridiagonal Matrices

Let nge2n\ge 2nge2 be an integer. Let RnR_nRn denote the ntimesnn\times nntimesn tridiagonal matrix with −1-11's on th... more Let nge2n\ge 2nge2 be an integer. Let RnR_nRn denote the ntimesnn\times nntimesn tridiagonal matrix with −1-11's on the sub-diagonal, 111's on the super-diagonal, −1-11 in the (1,1)(1,1)(1,1) entry, 111 in the (n,n)(n,n)(n,n) entry and zeros elsewhere. We find the eigen-pairs of the matrices RnR_nRn.

Research paper thumbnail of Semiprimality and Nilpotency of Nonassociative Rings Satisfying x(yz) = y(zx

Communications in Algebra, 2008

Research paper thumbnail of Some nilpotent, tridiagonal matrices with a special sign pattern

Linear Algebra and Its Applications

We prove that for each n 2 there is a nilpotent n × n tridiagonal matrix satisfying (a) The super... more We prove that for each n 2 there is a nilpotent n × n tridiagonal matrix satisfying (a) The super-diagonal is positive. (b) The sub-diagonal is negative.

Research paper thumbnail of Idempotents in plenary train algebras

Journal of Algebra, 2010

In this paper we study plenary train algebras. We show that for most parameter choices of the tra... more In this paper we study plenary train algebras. We show that for most parameter choices of the train identity, the additional identity (x 2 − ω(x)x) 2 = 0 is satisfied. In this case we prove that it has idempotents.

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