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math.AC2024
On the transfer of certain ring-theoretic properties in Anderson rings
Hyungtae Baek, Jung Wook Lim, Ali Tamoussit
Let be a commutative ring with unity and let be an indeterminate over . The \textit{Anderson ring} of is defined as the quotient ring of the polynomial ring b…
math.AC2024
A special subring of the Nagata ring and the Serre's conjecture ring
Hyungtae Baek, Jung Wook Lim
Many ring theorists researched various properties of Nagata rings and Serre's conjecture rings. In this paper, we introduce a subring (refer to the Anderson ring) of both the Nagat…