偶数环的商
Quotients of even rings
摘要：
证明了：若$R$是同伦集中在偶数次的$\mathbb{E}_2$ -环，且$\{x_j\}$是$π_{2*}(R)$中的任意元素序列，则$R/(x_1,x_2,\cdots)$具有$\mathbb{E}_1$ - $R$ -代数的结构.这消除了文献中常见的假设，即$\{x_j\}$是正则序列。
英文摘要：
We prove that if $R$ is an $\mathbb{E}_2$-ring with homotopy concentrated in even degrees, and $\{x_j\}$ is any sequence of elements in $π_{2*}(R)$, then $R/(x_1,x_2,\cdots)$ admits the structure of an $\mathbb{E}_1$-$R$-algebra. This removes an assumption, common in the literature, that $\{x_j\}$ be a regular sequence.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
