Arif KAYA, Feride KUZUCUOĞLU

On strongly regular rings

ISSN: 1300-0098
Yayın Aralığı: 6
Yayıncı: TÜBİTAK

Kuvvetli regüler halkaların, kuvvetli asal sağ idealleri içeren bir karakterizasyonu verilmiştir.

Kuvvetli regüler halkalar üzerine

Some characterizations of strongly regular rings will be given. Let R be a ring and $I(neq R)$ a right ideal of R. If, for each pair of right ideals A and B of R, AB $subseteq$ I implies that either A $subseteq$ I or B $subseteq$ I, then I is called a prime right ideal (or equivalently, if aRb $notsubseteq$ I whenever a and b do not belong to I). I is strongly prime right ideal if, for each pair of a and b in R, aIb $subseteq$ I and ab $in$ I imply that either a $in$ I or b $in$ I, and we call I a strongly semiprime right ideal whenever aIa $subseteq$ I and $a^2$ $in$ I imply that a $in$ I.

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