Geodesic
ON ANNIHILATOR IDEALS OF SKEW MONOID RINGS*
Glasgow mathematical journal, Tome 52 (2010) no. 1, pp. 161-168

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DOI

A ring R is called a left APP-ring if the left annihilator lR(Ra) is pure as a left ideal of R for every a ∈ R; R is called (left principally) quasi-Baer if the left annihilator of every (principal) left ideal of R is generated by an idempotent. Let R be a ring and M an ordered monoid. Assume that there is a monoid homomorphism φ: M ⟶ Aut(R). We give a necessary and sufficient condition for the skew monoid ring (induced by φ) to be left APP (left principally quasi-Baer, quasi-Baer, respectively).
DOI : 10.1017/S0017089509990255
Mots-clés : 16S35, 16S36 
ZHONGKUI, LIU; XIAOYAN, YANG. ON ANNIHILATOR IDEALS OF SKEW MONOID RINGS*. Glasgow mathematical journal, Tome 52 (2010) no. 1, pp. 161-168. doi: 10.1017/S0017089509990255
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     title = {ON {ANNIHILATOR} {IDEALS} {OF} {SKEW} {MONOID} {RINGS*}},
     journal = {Glasgow mathematical journal},
     pages = {161--168},
     year = {2010},
     volume = {52},
     number = {1},
     doi = {10.1017/S0017089509990255},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089509990255/}
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