In this paper, W-graph, called the notion of graphs on Wajsberg algebras, is introduced such that vertices graph are elements algebra and edges association two vertices. addition to this, commutative W-graphs also symmetric graphs. Moreover, a equivalence classes constructed. Meanwhile, new definitions as complement annihilator ∆-connection operator algebras presented. Lemmas theorems these not...

Our goal in this note is to show that cohomology classes with coefficients in finite flat group schemes can be killed by finite covers of the base scheme, and similarly for abelian schemes with “finite covers” replaced by “proper covers.” We apply this result to commutative algebra by giving a new and more conceptual proof of Hochster-Huneke’s theorem on the existence of big Cohen-Macaulay alge...

let $r$ be a commutative ring with identity and $mathbb{a}(r)$ be the set   of ideals of $r$ with non-zero annihilators. in this paper, we first introduce and investigate the principal ideal subgraph of the annihilating-ideal graph of $r$, denoted by $mathbb{ag}_p(r)$. it is a (undirected) graph with vertices $mathbb{a}_p(r)=mathbb{a}(r)cap mathbb{p}(r)setminus {(0)}$, where   $mathbb{p}(r)$ is...

We study the possibility of localization of the front present in a one-dimensional ballistically-controlled annihilation model in which the two annihilating species are initially spatially separated. We construct two different classes of initial conditions, for which the front remains localized.

coherence but by its concrete coherence—by its power to "assimilate" any and all alien beliefs, to change without annihilating such beliefs. In still other words, it is to take all thoughts captive to Christ (Ch. 6, pp. 147-79), even difficult thoughts like

In the present paper we continue the investigation of the so-called Coalescing Ideal Gas in one dimension, initiated by the rst author in 7]. The model consists of point-like particles moving with velocities 1 which coalesce and chose a fresh velocity with the same distribution, when colliding. In the previous paper 7] various identities in law were derived for the innnitely extended system. In...

Double (or parity conserving) branching annihilating random walk, introduced in [19], is a one-dimensional non-attractive particle system in which positive and negative particles perform nearest neighbor hopping, produce two offsprings to neighboring lattice points and annihilate when they meet. Given an odd number of initial particles, positive recurrence as seen from the leftmost particle pos...