Tor algebra of local rings with decomposable maximal ideal

Saeed Nasseh, Maiko Ono, and Yuji Yoshino

Let (R,m) be a commutative noetherian local ring. Assuming that m=I⊕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.

arXiv:2507.01784v1