泛Osborn环的某些单纯复形
Some simplicial complexes of universal Osborn loops
摘要：
证明了一个环是泛Osborn环当且仅当它有一个特殊的单纯复形。证明了一个环是泛Osborn环，且服从两个新恒等式当且仅当它有另一个特殊的单纯复形。一个普遍的奥斯本环和它的四个同位素被示出在$3$维空间中形成一个四棱锥。
英文摘要：
A loop is shown to be a universal Osborn loop if and only if it has a particular simplicial complex. A loop is shown to be a universal Osborn loop and obeys two new identities if and only if it has another particular simplicial complex. A universal Osborn loop and four of its isotopes are shown to form a rectangular pyramid in a $3$-dimensional space.
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。
