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An answer to a question of Kegel on sums of rings

journal contribution
posted on 2023-05-16, 11:13 authored by Kelarev, AV
We construct a ring R which is a sum of two subrings A and B such that the Levitzki radical of R does not contain any of the hyperannihilators of A and B. This answers an open question asked by Kegel in 1964.

History

Publication title

Canadian Mathematical Bulletin

Volume

41

Pagination

79-80

ISSN

0008-4395

Department/School

School of Natural Sciences

Publisher

Canadian Mathematical Soc

Place of publication

Canada

Repository Status

  • Restricted

Socio-economic Objectives

Expanding knowledge in the mathematical sciences

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