It is well known that these diagrams play a key role in the classification of Lie groups and Lie algebras, along with the other Dynkin diagrams {Bl}, {Cl}, F4 and G2. However, the ADE diagrams also classify many other diverse collections of objects in mathematics and physics, many of which have seemingly nothing to do with Lie groups and Lie algebras. The diagrams arise naturally (and often ver...

Canonical extensions of lattice ordered algebras provide an algebraic formulation of what is otherwise treated via topological duality or relational methods. They were firstly introduced by Jónsson and Tarski for Boolean algebras with operators (see [8] and [9]) and generalized for distributive lattices with different operations in [5], [4] and [3]. If A = (A, {fi, i ∈ I}) is a distributive lat...

In this paper, we analyze problems involving matrix variables for which we use a noncommutative algebra setting. To be more specific, we use a class of functions (called NC analytic functions) defined by power series in noncommuting variables and evaluate these functions on sets of matrices of all dimensions; we call such situations dimension-free. These types of functions have recently been us...

In order to evaluate the response of major nutrients concentration, uptake and their efficiencies of isabgol (Plantago ovata) to N fertilizer combinations and irrigation regimes, a field experiment was conducted at the agricultural research farm of Shahrekord University, 2009. The experiment was arranged as split-plot, in randomized complete block design with three replications. The irrigation ...

EBV-carrying human cell lines, depending on whether the cells are derived from Burkitt's lymphoma (BL) tumor biopsies or transformed by EBV in vitro, have different growth properties in vitro. In contrast, there are no clear differences between tamarin tumor lines and tamarin LCLs in vitro. Both types of tamarin cell lines could grow in agarose and formed colonies unlike human LCLs, althoug...

in order to evaluate the response of major nutrients concentration, uptake and their efficiencies of isabgol (plantago ovata) to n fertilizer combinations and irrigation regimes, a field experiment was conducted at the agricultural research farm of shahrekord university, 2009. the experiment was arranged as split-plot, in randomized complete block design with three replications. the irrigation ...