On polynomial rings over nil rings in several variables and the central closure of prime nil rings
نویسندگان
چکیده
منابع مشابه
On primitive ideals in polynomial rings over nil rings
Let R be a nil ring. We prove that primitive ideals in the polynomial ring R[x] in one indeterminate over R are of the form I [x] for some ideals I of R. All considered rings are associative but not necessarily have identities. Köthe’s conjecture states that a ring without nil ideals has no one-sided nil ideals. It is equivalent [4] to the assertion that polynomial rings over nil rings are Jaco...
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ژورنال
عنوان ژورنال: Israel Journal of Mathematics
سال: 2017
ISSN: 0021-2172,1565-8511
DOI: 10.1007/s11856-017-1616-6