Let $R$ be a commutative ring with identity. Let $G(R)$ denote the maximal graph associated to $R$, i.e., $G(R)$ is a graph with vertices as the elements of $R$, where two distinct vertices $a$ and $b$ are adjacent if and only if there is a maximal ideal of $R$ containing both. Let $Gamma(R)$ denote the restriction of $G(R)$ to non-unit elements of $R$. In this paper we study the various graphi...

we study the support sets of sub-topical functions‎ ‎and investigate their maximal elements in order to establish a necessary and sufficient condition‎ ‎for the global minimum of the difference of two sub-topical functions‎.

Let $G$ be a finite group‎. ‎A subset $X$ of $G$ is a set of pairwise non-commuting elements‎ ‎if any two distinct elements of $X$ do not commute‎. ‎In this paper‎ ‎we determine the maximum size of these subsets in any finite‎ ‎non-abelian metacyclic $2$-group and in any finite non-abelian $p$-group with an abelian maximal subgroup‎.

Abstract It is an interesting and difficult topic to determine the structure of a finite group by number elements maximal order. This related Thompson’s conjecture, that is, if two groups have same order type one them solvable, then other solvable. In this article, we continue work prove G G which has 4 <m...

Abstract The finite element method may converge in situations where the interpolation error does not; particular meshes violating maximal angle condition were discussed literature recently. However, there is also an example not to exact solution of problem on these types meshes. With a numerical study we stress that converges; it converges function which solution. A carefully designed posterior...