The rings with identity whose additive subgroups are one-sided ideals
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DOI: 10.1080/0020739x.2016.1264637
Abstract: ABSTRACT Let R be a ring with identity. Then {0} and R are the only additive subgroups of R if and only if R is isomorphic (as a ring with identity) to (exactly) one of… read more here.
Keywords: rings identity; one sided; additive subgroups; whose additive ... See more keywords
Subgroups, of Chevalley groups over a locally finite field, defined by a family of additive subgroups
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DOI: 10.1134/s0001434617110190
Abstract: It is proved that every elementary carpet of nonzero additive subgroups which is associated with a Chevalley group of a Lie rank exceeding one over a locally finite field coincides, up to conjugation by a… read more here.
Keywords: finite field; field; additive subgroups; chevalley groups ... See more keywords