In this article, we study compact Riemann surfaces of genus g with an automorphism of prime order g C 1. The main result provides a classification of such surfaces. In addition, we give a description of them as algebraic ...

Upper main-sequence stars, white dwarfs, and neutron stars are known to possess stable, large-scale magnetic fields. Numerical works have confirmed that stable magnetohydrodynamic equilibria can exist in non-barotropic, ...

The type and several invariant subspaces related to the upper annihilating series of finite-dimensional nilpotent evolution algebras are introduced. These invariants can be easily computed from any natural basis. Some ...

The existence of idempotent elements in plenary train algebras of rank greater than 3, is an open problem to be solved. J. Carlos Gutierrez's results on plenary train algebras in Gutierrez (2000) are based on the underlying ...

We shall study representations of algebras over fields of characteristic ≠ 2, 3 of dimension 4 which satisfy the identities xy - yx = 0, and ((xx)x)x = 0. In these algebras the multiplication operator was shown to be ...

We explicitly compute the largest subtree, in the local Bruhat-Tits tree for PSL2(k), whose vertices correspond to maximal orders containing a fixed order generated by a pair of orthogonal pure quaternions. In other words, ...

We performed an analysis of the drug-receptor equilibrium constant, Ki = {Q,,,Q;tQ,'} exp (-A&JkT). It is shown that, for a group of nonrotating molecules, we may consider the product of the partition functions as constant ...

In the present work, binary-Lie, assocyclic, and binary (-1,1) algebras are studied. We prove that, for every assocyclic algebra A, the algebra A - is binary-Lie. We find a simple non-Malcev binary-Lie superalgebra T that ...

We generalize Weil's converse theorem to Jacobi cusp forms of weight k, index m and Dirichlet character χ over the group Γ0(N)⋉ℤ2. Then two applications of this result are given; we generalize a construction of Jacobi forms ...