The purpose of this paper is to define cohomology complexes and study deformation theory Hom-associative algebra morphisms Hom-Lie morphisms. We discuss infinitesimal deformations, e...

Abstract We investigate several questions related to the notion of recognizable morphism. The main result is a new proof Mossé’s theorem and actually generalization more general class morphisms due Berthé et al [Recognizability for sequences morphisms. Ergod. Th. & Dynam. Sys. 39 (11) (2019), 2896–2931]. prove most morphisms, including ones with erasable letters. Our derived from concerning...

Abstract We define the notion of a specialization morphism from locally noetherian analytic adic space to scheme. This captures (classical) associated with formal There is well-behaved theory compactifications and it turns out that classical proper in this setup. As an application, we show nearby cycles functor commutes lower shriek great generality.

In this article the notions of semi weak orthogonality and semi weak factorization structure in a category $mathcal X$ are introduced. Then the relationship between semi weak factorization structures and quasi right (left) and weak factorization structures is given. The main result is a characterization of semi weak orthogonality, factorization of morphisms, and semi weak factorization structur...

In his previous paper [5], the author has defined a higher version of the Nash blowup and considered it a possible candidate for the one-step resolution. In this paper, we will introduce another higher version of the Nash blowup and prove that it is compatible with products and smooth morphisms. We will also prove that the product of curves can be desingularized via both versions.

The concept of a coset-preserving skew-morphism is a generalization of the widely studied t-balanced skew-morphisms of regular Cayley maps which are in turn generalizations of group automorphisms. In case of abelian groups, all skew-morphisms of regular Cayley maps are roots of coset-preserving skew-morphisms, and therefore, classification of cosetpreserving skew-morphisms of finite abelian gro...