5 papers
Automorphisms of Twisted Chevalley Groups of type over Local Rings
Elena I. Bunina, Deep H. Makadiya
This paper is part of a series devoted to the classification of isomorphisms and automorphisms of twisted Chevalley groups over commutative rings. In this work, we prove that every…
Automorphisms of Twisted Chevalley Groups of type over Local Rings
Elena I. Bunina, Deep H. Makadiya
This paper is the first in a series devoted to the classification of automorphisms and isomorphisms of twisted Chevalley groups over commutative rings. In the present paper, we pro…
Elementary equivalence of endomorphism rings and automorphism groups of periodic Abelian groups
Elena Bunina
In this paper, we prove that the endomorphism rings End A and End A' of periodic infinite Abelian groups A and A' are elementarily equivalent if and only if the endomorphism rings…
Types in torsion free Abelian groups
Elena Bunina
In this paper we study (logical) types and isotypical equivalence of torsion free Abelian groups. We describe all possible types of elements and standard 2-tuples of elements in th…
Isotypical equivalence of periodic Abelian groups
Elena Bunina
In this paper we give invariants that characterize isotypically equivalent Abelian periodic groups. Also, we describe types of standart tuples of elements in these groups. As the p…