On disjunction of equations in inverse semigroups
英文摘要：
A semigroup $S$ is an equational domain if any finite union of algebraic sets over $S$ is algebraic. We prove that if an inverse semigroup $S$ is an equational domain in the extended language $\{\cdot,{}^{-1}\}\cup\{s|s\in S\}$ then $S$ is a group.
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。
