We establish representation types (finite, tame or wild) of finite dimensional Munn algebras with semisimple bases. As an application, we Rees matrix semigroups, in particular, 0-simple and their mutually annihilating unions.

We fully characterize regular Hom-Lie structures on the incidence algebra I(X, K) of a finite connected poset X over field K. prove that such structure is sum central-valued linear map annihilating Jacobson radical with composition certain inner and multiplicative automorphisms K).

BY P . ERDŐS AND P . NEY Hungarian Academy of Sciences and University of Wisconsin Particles perform independent random walks on the integers, and are annihilated if they cross paths or land at the same point. The problem is to determine whether the origin is hit infinitely often . The answer is shown to depend on the initial distribution of particles in accordance with a "log log law ." Severa...

We assign a countable ordinal number to each probability measure which annihilates all H-sets. The descriptive-set theoretic structure of this assignment allows us to show that this class of measures is coanalytic non-Borel. In addition, it allows us to quantify the failure of Rajchman's conjecture. Similar results are obtained for measures annihilating Dirichlet sets. A closet subset E of the ...

Abstract Recent indirect searches of dark matter using gamma-ray, radio, and cosmic-ray data have provided some stringent constraints on annihilating matter. In this article, we propose a new method to constrain By the G2 cloud near Galactic supermassive black hole Sgr A*, can get parameter space mass annihilation cross section, especially for non-leptophilic channels $b\bar{b}$ W±. For thermal...