Geodesic
Abelian groups with $\pi$-regular center of the endomorphism ring
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2019), pp. 46-53

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The concept of $\pi$-regular endomorphism ring of an abelian group, which generalizes the concept of regular endomorphism ring was introduced in the works of Fuchs and Rangaswamy. They described a periodic abelian groups with $\pi$-regular endomorphism rings and found some necessary conditions for an abelian group with $\pi$-regular endomorphism rings. The abelian groups with $\pi$-regular center of the endomorphism ring are studied in the present paper. The necessary and sufficient conditions are found under which an arbitrary abelian group has a $\pi$-regular center of the endomorphism ring.
Keywords: abelian group, $\pi$-regular center, endomorphism ring. 
@article{IVM_2019_11_a5,
     author = {V. M. Misyakov},
     title = {Abelian groups with $\pi$-regular center of the endomorphism ring},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {46--53},
     publisher = {mathdoc},
     number = {11},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2019_11_a5/}
}
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V. M. Misyakov. Abelian groups with $\pi$-regular center of the endomorphism ring. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2019), pp. 46-53. http://geodesic.mathdoc.fr/item/IVM_2019_11_a5/