Canonical and Algebraically Closed Groups in Universal Classes of Abelian Groups

Аннотация

Using sets of finitely generated Abelian groups closed under the discrimination operator, we describe principal universal classes ???? within a quasivariety ????_p, the class of groups whose periodic part is a p-group for a prime p. Also the concept of an algebraically closed group in ???? is introduced, and such groups are classified.