An R-module A is said to be a UA-module if it is not possible to change the addition of A
without changing the action of R on A. A semigroup (R,·) is said to be a UA-ring if there exists …

ON HOMOGENEOUS MAPPINGS OF FINITELY PRESENTED MODULES OVER THE RING
OF POLYADIC NUMBERS DS Chistyakov UDC 512.541 Page 1 Journal of Mathematical …

Suppose that V is a module over a ring R. Themodule V is called a unique addition module
(UA-module) if it is not possible to change the addition on the set V without changing the …

A ring K is said to be a unique addition ring (UA-ring) if on its multiplicative semigroup (K,·) it
is possible to set only one binary operation of+ turning (K,·,+) into a ring. We call an Abelian …

In this paper we introduce the notion of* s-modules (s denotes static) as a generalization of*-
modules different from* n-modules. The class of* s-modules contains also the class of …

Abelian Groups as UA-Modules over the Ring Z Page 1 ISSN 0001-4346, Mathematical Notes,
2010, Vol. 87, No. 3, pp. 380–383. © Pleiades Publishing, Ltd., 2010. Original Russian Text © …

A ring K is a unique addition ring (a UA-ring) if its multiplicative semigroup (K,·) can be
equipped with a unique binary operation+ transforming this semigroup to a ring (K,·,+). An …

Abstract A semigroup (R,·) is said to be a UA-ring if there exists a unique binary operation “+”
transforming (R,·,+) into a ring. An R-module A is said to be a UA-module if it is not possible …

A ring R is said to be a unique addition ring (UA-ring) if any semigroup isomorphism
R∗=(R,∗)∼-(S,∗)= S∗ of multiplicative semigroups with another ring S is always a ring …

An associative ring R is called a unique addition ring (UA-ring) if its multiplicative semigroup
(R,·) can be equipped with a unique binary operation+ transforming the triple (R,·,+) to a ring …