Tor algebra of local rings with decomposable maximal ideal

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发表日期：

2025年11月27日

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Saeed Nasseh,
Maiko Ono,
Yuji Yoshino

摘要

Let $(R,\mathfrak {m}_R)$ $(R, m_{R})$ be a commutative noetherian local ring. Assuming that $\mathfrak {m}_R=I\oplus J$ $m_{R} = I \oplus J$ is a direct sum decomposition, where I and J are non-zero ideals of R, we describe the structure of the Tor algebra of R in terms of the Tor algebras of the rings R/I and R/J.