Lyapin的笔记：结合群理论中未解决的问题集
The Lyapin's notebook: a collection of unsolved problems in Semigroup Theory
AI总结：
本文汇集了群论中未解决的关键问题，涵盖半群的潜在性质、嵌入性、结构问题及未来研究方向，纪念Lyapin并对学术界提供研究指引。
摘要：
本文汇集了群论中未解决的关键问题，涵盖半群的潜在性质、嵌入性、结构问题及未来研究方向，纪念Lyapin并对学术界提供研究指引。
英文摘要：
This collection presents a selected set of unsolved problems in semigroup theory, a fundamental branch of modern algebra. The publication is dedicated to the 110th anniversary of the birth of E. S. Lyapin, one of the founders of the field and the author of the world's first monograph on semigroups. The collection covers several major directions of contemporary research: potential properties and embeddability of semigroups; structural problems and finiteness conditions in varieties; endomorphisms; solvable and unsolvable classes of finite semigroups and groups; power semigroups; inclusive varieties; and the theory of partial groupoids. It serves both as a tribute to Lyapin's memory and as a roadmap for current and future research in algebraic systems.
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。
