… 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 …

… The rings Rχ were introduced by Krylov [2] and Fomin [3] for studying certain sp-groups.
In the special case where the characteristic χ is locally free, the rings Rχ were already used …

… 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 …

… 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 …

… (called the sp-groups) give another important example. The sp-groups were studied in the …
rings and groups of homomorphisms for sp-groups were answered. This paper can be divided …

… (sp-groups are defined at the end of Section 13). Glaz and Wickless [183] characterize sp-groups …
We consider some general properties of pure subgroups and subrings of the ring of p-…

… Here we call these groups sp-groups. A mixed group simulta… A ⊂ ∏p Ap; moreover, A is
pure in ∏p Ap (which amounts to … Let K(χ) be a subring in K(χ) such that T(χ) ⊂ K(χ) and K(χ)/T(…

… The ring of pseudorational numbers and modules over it were introduced in the articles by
Fomin [1] and Krylov [2, 3] as a tool for studying mixed abelian sp-groups. An abelian group A …

… 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 …