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Unique Factorization in Zero Divisor Rings by ubaidmohammed1998 is a document available to read on EtoBox.
What is Unique Factorization in Zero Divisor Rings about?
This paper surveys unique factorization in polynomial rings over commutative rings with zero divisors, characterizing when such polynomial rings possess unique factorization properties. It establishes that while a unique factorization domain (UFD) property in a ring R implies the same for R[X], the converse does not hold if R is not a domain. The authors explore various definitions of unique factorization and irreducibility, providing insights into the behavior of factorization in these polynomial rings.
- Author
- ubaidmohammed1998
- Language
- EN