1 Center for Integrative Genetics (CIGENE), Norwegian University of Life Sciences, 1432 Aas, Norway 2Department of Mathematical Sciences and Technology, Norwegian University of Life Sciences, 1432 Aas, Norway 3Department of Algebra and Geometry, Tambov State University, 392000 Tambov, Russia 4Department of Higher Mathematics, Faculty of Electronics and Computer Sciences, Moscow State Forest Uni...

We examine the question of when the ∗–homomorphism λ : A ∗D B → Ã ∗ D̃ B̃ of full amalgamated free product C∗–algebras, arising from compatible inclusions of C∗–algebras A ⊆ Ã, B ⊆ B̃ and D ⊆ D̃, is an embedding. Results giving sufficient conditions for λ to be injective, as well of classes of examples where λ fails to be injective, are obtained. As an application, we give necessary and sufficient ...

By employing a nonlinear alternative for contractive maps, we investigate the existence of solutions for a boundary value problem of fractional q-difference inclusions with nonlocal substrip type boundary conditions. The main result is illustrated with the aid of an example.

Necessary and sufficient conditions are given for an s-block of integer partitions to be contained in a t-block. The generating function for such partitions is found analytically, and also bijectively, using the notion of an (s, t)-abacus. The largest partition which is both an s-core and a t-core is explicitly given.

Although fluid inclusions were apparently known to early naturalists, actual research on fluid and melt inclusions began only in the mid-1800s and grew very slowly for the next 100 years. Russian scientists began systematic studies of inclusions in the 1930s, but it was not until about 1960 that publications mentioning or using fluid inclusions began to increase from a few each year to the pres...