On covers of quasivarieties of p-algebras
Zal\'an Gyenis

TL;DR
This paper investigates the structure of quasivarieties of p-algebras, proving that each variety has a unique cover in the lattice of subquasivarieties, thus resolving a previously open problem.
Contribution
It provides a complete characterization of covers of varieties of p-algebras within the lattice of quasivarieties, answering an open question in the field.
Findings
Each variety of p-algebras has exactly one cover in the lattice.
The result resolves a problem posed by Kowalski and S{2}omczy4ska.
The paper advances understanding of the lattice structure of quasivarieties.
Abstract
This paper characterizes the covers of varieties of p-algebras in the lattice of quasivarieties of p-algebras. In particular, it is shown that every such variety has exactly one cover in the lattice of subquasivarieties. This answers a problem of Kowalski and S{\l}omczy\'nska.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Algebra and Logic · Fuzzy and Soft Set Theory · Rings, Modules, and Algebras
