We construct monoid algebras which satisfy the ascending chain condition on principal ideals and which have the property that every nonempty subset of N ₂ occurs as a length set.

Read Full Paperexternally

KI fragen

Bookmark

View Full Paper

KI fragen

Bookmark

View Full Paper

Cite This Study

Geroldinger et al. (Wed,) studied this question.

synapsesocial.com/papers/68e6ecccb6db643587667e24 https://doi.org/https://doi.org/10.48550/arxiv.2404.11494

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1One-dimensional monoid algebras and ascending chains of principal ideals2024
2Associative ideals in monoids2024
3On the monoid of order-preserving transformations of a finite chain whose ranges are intervals2024 · 5 citations
4Topological finiteness properties of monoids, II: Special monoids, one-relator monoids, amalgamated free products, and HNN extensions2024
5Classification of varieties with bounded colength: a view through recent advances2026

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1One-dimensional monoid algebras and ascending chains of principal ideals2024
2Associative ideals in monoids2024
3On the monoid of order-preserving transformations of a finite chain whose ranges are intervals2024 · 5 citations
4Topological finiteness properties of monoids, II: Special monoids, one-relator monoids, amalgamated free products, and HNN extensions2024
5Classification of varieties with bounded colength: a view through recent advances2026