Abelian groups whose nonzero endomorphisms have nonessential kernels.

Autor:	Alizade, Rafail, Isah, Surajo Ibrahim
Předmět:	ABELIAN groups ENDOMORPHISMS KERNEL functions BOREL subgroups MATHEMATICAL proofs MATHEMATICAL singularities
Zdroj:	Journal of Algebra & Its Applications; Mar2017, Vol. 16 Issue 3, p-1, 7p
Abstrakt:	In this paper, we describe completely the -singular subgroup of an abelian group and a -nonsingular abelian group in terms of the basic subgroups of its -components and the quotient group by the torsion part. We also prove that a pure subgroup and a quotient group by a pure subgroup of a -nonsingular abelian group are -nonsingular and give a condition under which a pure extension of a -nonsingular abelian group by a -nonsingular group is -nonsingular. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
Externí odkaz:	Zobrazit plný text záznamu