Oxide reducibility is a central concept quantifying the role of support in catalysis. While reducible oxides are often considered catalytically active, irreducible seen as inert supports. Enhancing has, however, emerged an effective way to increase their catalytic activity while retaining inherent thermal stability. In this work, we focus on prospect using single metal atoms prototypical oxide,...

let $g$ be a finite group and let $text{cd}(g)$ be the set of all‎ ‎complex irreducible character degrees of $g$‎. ‎b‎. ‎huppert conjectured‎ ‎that if $h$ is a finite nonabelian simple group such that‎ ‎$text{cd}(g) =text{cd}(h)$‎, ‎then $gcong h times a$‎, ‎where $a$ is‎ ‎an abelian group‎. ‎in this paper‎, ‎we verify the conjecture for‎ ${f_4(2)}.$‎

the aim of this paper is to classify the finite simple groups with the number of zeros at most seven greater than the number of nonlinear irreducible characters in the character tables. we find that they are exactly a$_{5}$, l$_{2}(7)$ and a$_{6}$.

The concept of irreducible complexity is a great intuitive concept which has historically lacked a well-defined theoretical basis. This paper will show how computational theory gives an adequate account for what irreducible complexity is, what irreducible complexity’s possible biological implications are, and how irreducible complexity can be useful to molecular biologists and creation biologis...

Let R be an integral domain and let Q denote the quotient field of R. We investigate the structure of R-submodules of Q that are Q-irreducible, or completely Q-irreducible. One of our goals is to describe the integral domains that admit a completely Q-irreducible ideal, or a nonzero Q-irreducible ideal. If R has a nonzero finitely generated Q-irreducible ideal, then R is quasilocal. If R is int...