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pro vyhledávání: '"Baek, Hyungtae"'
Let $R$ be a commutative ring with unity and let $X$ be an indeterminate over $R$. The \textit{Anderson ring} of $R$ is defined as the quotient ring of the polynomial ring $R[X]$ by the set of polynomials that evaluate to $1$ at $0$. Specifically, th
Externí odkaz:
http://arxiv.org/abs/2410.17007
Autor:
Baek, Hyungtae, Lim, Jung Wook
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 Nagata ring and the Serre's conjecture ring (up to isomorphism), and invest
Externí odkaz:
http://arxiv.org/abs/2408.08758
Autor:
Baek, Hyungtae, Lim, Jung Wook
In this paper, we study some properties of $S$-Noetherian modules and $S$-strong Mori modules. Among other things, we prove the Hilbert basis theorem for $S$-Noetherian modules and $S$-strong Mori modules.
Comment: 15 pages
Comment: 15 pages
Externí odkaz:
http://arxiv.org/abs/2311.01390
Let $R$ be a commutative ring with identity, $S$ a multiplicative subset of $R$ and $I$ an ideal of $R$ disjoint from $S$. In this paper, we introduce the notion of an $S$-$n$-absorbing ideal which is a generalization of both the $S$-prime ideals and
Externí odkaz:
http://arxiv.org/abs/2310.18032