Ideals in simple rings
نویسندگان
چکیده
منابع مشابه
0-primitive Near-rings, Minimal Ideals and Simple Near-rings
We study the structure of 0-primitive near-rings and are able to answer an open question in the theory of minimal ideals in near-rings to the negative, namely if the heart of a zero symmetric subdirectly irreducible near-ring is subdirectly irreducible again. Also, we will be able to classify when a simple near-ring with an identity and containing a minimal left ideal is a Jacobson radical near...
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We show that the existence of a nontrivial proper ideal in a commutative ring with identity which is not a eld is equivalent to WKL0 over RCA0, and that the existence of a nontrivial proper nitely generated ideal in a commutative ring with identity which is not a eld is equivalent to ACA0 over RCA0. We also prove that there are computable commutative rings with identity where the nilradical is ...
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ژورنال
عنوان ژورنال: Journal of the Australian Mathematical Society
سال: 1978
ISSN: 1446-7887,1446-8107
DOI: 10.1017/s1446788700021066