T-rings and quotient divisible groups of rank 1
We prove that the class of quotient divisible groups of rank 1 coincides with the class of infinite Т-rings.
Download file
Counter downloads: 347
Keywords
E-кольцо, Т-кольцо, факторно делимая группа, E-ring, Т-ring, quotient divisible groupAuthors
Name | Organization | |
Tsarev Andrey Valer'evich | Moscow State Pedagogical University | an-tsarev@yandex.ru |
References
Fomin A.A., Wickless W. Quotient divisible abelian groups // Proc. Amer. Math. Soc. 1998. V. 126. P. 45-52.
Давыдова О.И. Факторно делимые абелевы группы ранга 1 // Фунд. и прикл. матем. 2007. Т. 13. № 3. С. 25-33.
Фукс Л. Бесконечные абелевы группы. Т. 1, 2. М.: Мир, 1974, 1977.
Schultz P. The endomorphism ring of the additive group of a ring // J. Austral. Math. Soc. 1973. V. 15. P. 60-69.
Bowshell R.A., Schultz P. Unital rings whose additive endomorphisms commute // Math. Ann. 1977. V. 228. No. 3. P. 197-214.
Beaumont R.,Pierce R. Torsion free rings // 1ll. J. Math. 1961. V. 5. P. 61-98.

T-rings and quotient divisible groups of rank 1 | Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2013. № 4(24).
Download full-text version
Download file
Counter downloads: 1077