We proceed with Kunen's research about existence of units (left, right, two-sided) in quasigroups classical Bol--Moufang type identities, listed paper Extra loops II, by F. Fenyves (1969). consider those identities where it has not been decided yet whether a quasigroup fulfilling this identity to possess left or right identity. also provide table all Moufang--Bol indicating at each describes th...

We consider the negative weight percolation (NWP) problem on hypercubic lattice graphs with fully periodic boundary conditions in all relevant dimensions from d=2 to the upper critical dimension d=6. The problem exhibits edge weights drawn from disorder distributions that allow for weights of either sign. We are interested in the full ensemble of loops with negative weight, i.e., nontrivial (sy...

We study a system of equations with discontinuous right hand side, which arise as models of gene and neural networks. Associated to the system is a graph of dynamics, which can be used to deene a Morse decomposition of the invariant set of the ow on the set of rays through the origin ((5]). We study attractors in R 4 which lie in a set of orthants in the form of gure eight. Trajectories can fol...

a tandem agv configuration connects all cells of a manufacturing area by means of non-overlapping, sin-gle-vehicle closed loops. each loop has at least one additional p/d station, provided as an interface between adjacent loops. this study describes the development of three tabu search algorithms for the design of tandem agv systems. the first algorithm was developed based on the basic definiti...

OBJECTIVE Since the conductance catheter method has facilitated evaluation of left ventricular contractile state in both laboratory and clinical studies, the aim of this study was to determine whether the technique is similarly useful for the right ventricle. METHODS A series of right ventricular pressure-volume loops was obtained in seven open chest pigs during transient vena caval occlusion...

In this paper, we have characterized graph structures connected with some algebraic properties. Also, paper is actually the concatenation of theory and algebra. We introduced left right inverse graphs antiautomorphic property loops. there a connection between bipartite mathematical structures, commutator subloop, associator associative part, nucleus loop, through edge labeling.

A loop is (right) automorphic if all its (right) inner mappings are automorphisms. Using the classification of primitive groups of small degrees, we show that there is no non-associative simple commutative automorphic loop of order less than 2, and no non-associative simple automorphic loop of order less than 2500. We obtain numerous examples of non-associative simple right automorphic loops. W...