‎Let $R$ be a commutative ring with non-zero identity. ‎We describe all $C_3$‎- ‎and $C_4$-free intersection graph of non-trivial ideals of $R$ as well as $C_n$-free intersection graph when $R$ is a reduced ring. ‎Also, ‎we shall describe all complete, ‎regular and $n$-claw-free intersection graphs. ‎Finally, ‎we shall prove that almost all Artin rings $R$ have Hamiltonian intersection graphs. ...

We investigate the complexity of membership problems for {∪,∩, ̄ , +,×}-circuits computing sets of integers. These problems are a natural modification of the membership problems for circuits computing sets of natural numbers studied by McKenzie and Wagner (2003). We show that there are several membership problems for which the complexity in the case of integers differs significantly from the ca...

‎let us consider the set of non-abelian finite simple groups which‎ ‎admit non-trivial irreducible projective representations of degree $le 7$ over‎ ‎an algebraically closed field $f$ of characteristic $pgeq 0$‎. ‎we survey some recent results which‎ ‎lead to the complete list of the groups in this set which are‎ ‎$(2‎, ‎3‎, ‎7)$-generated and of those which are $(2,3)$-generated‎.

‎let us consider the set of non-abelian finite simple groups which‎ ‎admit non-trivial irreducible projective representations of degree $le 7$ over‎ ‎an algebraically closed field $mathbb{f}$ of characteristic $pgeq 0$‎. ‎we survey some recent results which‎ ‎lead to the complete list of the groups in this set which are‎ ‎$(2,3,7)$-generated and of those which are $(2,3)$-generated‎.

We consider the two dimensional Schr\"odinger equation with time dependent delta potential, which represents a model for dynamics of quantum particle subject to point interaction whose strength varies in time. First, we prove global well-posedness associated Cauchy problem under general assumptions on potential and initial datum. Then, monochromatic periodic (which also satisfies suitable no-re...

The article is devoted to the current world problem of vegetable protein deficiency, solution which can be white lupine. Particular attention paid assessing bioavailability nutrients from lupine (Lupinus albus) in body non-human primates M. Mulatta. Because are phylogenetically closer humans than other laboratory animals, very convenient for modeling and studying digestibility diets. purpose st...