… In this article we deal mainly with sp-groups with elementary p-components, that is, for every
… A subring R of ∏ is said to be pure if its additive group is a pure subgroup of ∏ . We say …

… The ring Kχ can also be defined as the subring in Zχ, which is purely generated by the
ideal Tχ and the identity element of this ring. The rings Kχ are simplest examples of sp-rings …

… This similarity leads us to examine (mixed) sp-groups. After observing that a reduced endo-V…
ie, E is a pure subring of ∏Mnp (Zp). After that we clarify the format of all pure subrings of ∏…

… We investigate endomorphal modules in the class of sp-groups. This class of mixed … sp-groups
that are UA-modules over their endomorphism ring. In addition, we describe sp-groups …

… In the following, we say that R is a pure subring of S if the additive group of R is a pure
subgroup of the additive subgroup of S. We say that a subgroup H of a group G is pure if for every …

… SU(N) theory and its nonfreely generated property from a purely mathematical point of view.
We … The fundamental problem of invariant theory is then to describe the subring of invariant …

… For instance, it is known ([12], see also [13]) that 2-good rings of endomorphisms have:
totally projective p-groups (\(p\neq 2\)), self-small sp-groups of finite rank without 2-component. …