Matrix-assisted laser desorption/ionization (MALDI) mass spectrometry (MS) is a central tool for proteomic analysis, yet the singly protonated tryptic peptide ions produced by MALDI are significantly more difficult to dissociate for tandem mass spectrometry (MS/MS) than the corresponding multiply protonated ions. In order to overcome this limitation, current proteomic approaches using MALDI-MS/...

let $r$ be a commutative ring and let $m$ be an $r$-module. we define the small intersection graph $g(m)$ of $m$ with all non-small proper submodules of $m$ as vertices and two distinct vertices $n, k$ are adjacent if and only if $ncap k$ is a non-small submodule of $m$. in this article, we investigate the interplay between the graph-theoretic properties of $g(m)$ and algebraic properties of $m...

Phellorinia herculeana is an edible mushroom growing in nutritionally poor and desert soil. There has been little information available about its edaphic culturing conditions for achieving the vigorous mycelial growth essential artificial cultivation, bioaugmentation biodegradation unfertile Thus, present study was conducted to assess find a suitable medium obtaining maximum growth. It grows co...

The systematic study of the temperature and pressure dependence of matrix-assisted ionization (MAI) led us to the discovery of the seemingly impossible, initially explained by some reviewers as either sleight of hand or the misinterpretation by an overzealous young scientist of results reported many years before and having little utility. The “magic” that we were attempting to report was that w...

We present a numerical approximation scheme for the Tomita-Takesaki modular operator of local subalgebras in linear quantum fields, working at one-particle level. This is applied to subspaces double cones vacuum sector massive scalar free field (1 + 1)- and (3 1)-dimensional Minkowski spacetime, using discretization time-0 data position space. In case wedge region, one component generator well-...

let r be a commutative ring with non-zero identity and m be a unital r-module. then the concept of quasi-secondary submodules of m is introduced and some results concerning this class of submodules is obtained

let $g$ be a group with identity $e$. let $r$ be a $g$-graded commutative ring with a non-zero identity and $m$ be a graded $r$-module. in this article, we introduce the concept of graded almost semiprime submodules. also, we investigate some basic properties of graded almost semiprime and graded weakly semiprime submodules and give some characterizations of them.

‎let $pa$ be a commutative banach algebra and $ex$ be a left banach $pa$-module‎. ‎we study the set‎ ‎$dec_{pa}(ex)$ of all elements in $pa$ which induce a decomposable multiplication operator on $ex$‎. ‎in the case $ex=pa$‎, ‎$dec_{pa}(pa)$ is the well-known apostol algebra of $pa$‎. ‎we show that $dec_{pa}(ex)$ is intimately related with the largest spectrally separable subalgebra of $pa$ and...