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In this paper, we study the link between finite-dimensional Zinbiel algebras and combinatorial structures or (pseudo)digraphs determining which configurations are associated with those algebras. Some properties of Zinbiel algebras that can be read from their associated combinatorial structures are studied. We also analyze the isomorphism classes for each configuration associated with these algebras providing a new method to classify them and we compare our results with the current classifications of 2- and 3-dimensional Zinbiel algebras. We also obtain the 3-vertices combinatorial structures associated with such algebras. In order to complement the theoretical study, we have designed and performed the implementation of an algorithm which constructs and draws the (pseudo)digraph associated with a given Zinbiel algebra and, conversely, another procedure to test if a given combinatorial structure is associated with some Zinbiel algebra. [ABSTRACT FROM AUTHOR]

The paper presents an automatic system in programmable logic meant to control of the underground drainage station. After a description of the water chaining process, as purpose of automation, the paper presents the technical and functional specifications which synthesize the automatic system. The system implementation was achieved by using a programmable automaton. Afterwards are presented the system architecture and the logic diagram on whose basis the program was worked out. [ABSTRACT FROM AUTHOR]

In this paper, the maximal abelian dimension is algorithmically and computationally studied for the Lie algebra ...n, of nxn upper-triangular matrices. More concretely, we define an algorithm to compute abelian subalgebras of ...n besides programming its implementation with the symbolic computation package MAPLE. The algorithm returns a maximal abelian subalgebra of ...n and, hence, its maximal abelian dimension. The order n of the matrices ...n is the unique input needed to obtain these subalgebras. Finally, a computational study of the algorithm is presented and we explain and comment some suggestions and comments related to how it works. [ABSTRACT FROM AUTHOR]