✦ LIBER ✦

Polynomial Rings over Nil Rings Cannot Be Homomorphically Mapped onto Rings with Nonzero Idempotents

✍ Scribed by K.I Beidar; Y Fong; E.R Puczyłowski

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 104 KB
Volume: 238
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.2000.8632

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✦ Synopsis

We prove that the ring of polynomials in one indeterminate over a nil ring cannot be homomorphically mapped onto a ring containing a nonzero idempotent. This result can be regarded as an approximation of a positive solution of Köthe's problem.