Isomorphisms of Endomorphism Semigroups of Mixed Abelian Groups

Krylov, P. A., Mikhalev, A. V., Tuganbaev, A. A. Abelian Groups and Their Endomorphism Rings (Factorian Press, Moscow, 2006) [Russian].

Fuchs, L. Infinite Abelian Groups (Academic Press, NY, 1970; Mir, Moscow, 1974), Vol. 1.

Fuchs, L. Infinite Abelian Groups (Academic Press, NY, 1970; Mir, Moscow, 1977), Vol. 2.

Sebeldin, A.M. “AbelianGroupswith IsomorphicEndomorphism Semigroups”, Russ.Math. Surv. 49, No.6, (1994).

Sebeldin, A. M. “Abelian Groups of Certain Classes with Isomorphic Endomorphism Rings”, Russ. Math. Surv. 50, No. 1, (1995).

Puusemp, P. “Determination of a Periodic Abelian Group by its Endomorphism Semigroup in the Class of All Groups”, Proc. Estonian Acad. Sci. Phys.Math. 29, No. 3, 241–245 (1980).

Puusemp, P. “Determination of a Periodic Abelian Group by its Endomorphism Semigroup in the Class of All Periodic Abelian Groups”, Proc. Estonian Acad. Sci. Phys.Math. 29, No. 3, 246–253 (1980).

May, W., Toubassi, E. “Endomorphisms of Abelian Groups and the Theorem of Baer and Kaplansky”, J. Algebra 43, No. 1, 1–13 (1976).

Mikhalev, A. V. “Multiplicative Classification of Associative Rings”, Matem.Sb.N.Ser. 135, No. 2, 210–214 (1988) [Russian].

Stephenson, W. “Unique Addition Rings”, Can. J. Math. 21, No. 6, 210–214 (1969).

Lyubimtsev, O. V. “Separable Torsion Free Abelian Groups with UA-rings of Endomorphisms”, Fundamet. i prikl.matem. 4, No. 4, 1419–1422 (1998) [Russian].

Lyubimtsev, O. V. “Periodic Abelian Groups with UA-Rings of Endomorphisms”, Math.Notes 70 (5), 736–741 (2001).

Lyubimtsev, O. V., Chistyakov, D. S. “Torsion-Free Abelian Groups with UA-Ring of Endomorphisms”, Vestn. Tomsk Gos. Univ.Mat., mekh., No. 2, 55–58 (2011) [Russian].

Lyubimtsev, O. V., Chistyakov, D. S. “MixedAbelian Groups With Isomorphic Endomorphism Semigroups”, Math. Notes 97, No. 4, 556–565 (2015).

Lyubimtsev, O. V. “Completely Decomposable Quotient Divisible Abelian Groups With UA-rings of Endomorphisms”, Math.Notes 98, No. 1, 130–137 (2015).

Lyubimtsev, O. V., Chistyakov, D. S. “Torsion-Free Modules with UA-rings of Endomorphisms”, Math. Notes 98, No. 6, 949–956 (2015).

Lyubimtsev, O. V. “Algebraically Compact AbelianGroupsWith UA-rings of Endomorphisms”, Fundament. i prikl.matem. 20, No. 5, 121–129 (2015) [Russian].

Lyubimtsev, O. V., and Chistyakov, D. S. “UA-properties ofModulesOver Commutative Noetherian Rings”, Russian Mathematics 60, No. 11, 35–44 (2016).

Breaz, S. “On a Class of Mixed Groups With Semilocal Walk-Endomorphism Ring”, Comm. Algebra 30, No. 9, 4473–4485 (2002).

Albrecht, U., Goeters, P., ,Wickless, W. “The Flat Dimension of Mixed Abelian Groups as E-Modules”, RockyMount. J. 25, No. 2, 569–590 (1995).