Full subrings of E-rings

Shalom Feigelstock

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


A ring R is said to be an E-ring if the map R → E(R+), of R into the ring of endomorphisms of its additive group via a → a1 = left multiplication by a, is an isomorphism. In this note torsion free rings R for which the group R1 of left multiplication maps by elements of R, is a full subgroup of E(R+)+ will be considered. These rings are called TE-rings. It will be shown that TE-rings satisfy many properties of S-rings, and that unital TE-rings are E-rings. If R is a TE-ring, then E(R+) is an E-ring, and E(R+)+ /R1 is bounded. Some results concerning additive groups of TE-rings will be obtained.

Original languageEnglish
Pages (from-to)275-280
Number of pages6
JournalBulletin of the Australian Mathematical Society
Issue number2
StatePublished - Oct 1996


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