Back to matchesWe found a matchYour institution may have rights to this item. Sign in to continue.TitleAbelian groups as UA-modules over the ring ℤ.AuthorsLyubimtsev, O.; Chistyakov, D.AbstractLet V be a module over a ring R. Themodule V is called a unique addition module (a UA-module) if there is no new addition on the set V without changing the action of R on V. In the paper, the UA-modules over the ring ℤ are found.SubjectsCAYLEY algebras; HAMILTONIAN operator; HAMILTONIAN systems; GIBBS' equation; KRONECKER productsPublicationMathematical Notes, 2010, Vol 87, Issue 3/4, p380ISSN0001-4346Publication typeArticleDOI10.1134/S0001434610030090