The Lyapin's notebook: a collection of unsolved problems in Semigroup Theory
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2026
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866911569646977024 |
|---|---|
| author | Bershadsky, S. Kublanovsky, S. Mashevitzky, G. |
| author_facet | Bershadsky, S. Kublanovsky, S. Mashevitzky, G. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_04763 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The Lyapin's notebook: a collection of unsolved problems in Semigroup Theory Bershadsky, S. Kublanovsky, S. Mashevitzky, G. Group Theory 20M07 20M20 03C05 01A60 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. |
| title | The Lyapin's notebook: a collection of unsolved problems in Semigroup Theory |
| topic | Group Theory 20M07 20M20 03C05 01A60 |
| url | https://arxiv.org/abs/2604.04763 |