Semilattice ordered algebras with constants
Agata Pilitowska, Anna Zamojska-Dzienio
TL;DR
This paper explores semilattice ordered algebras with constants, analyzing their identities and describing free objects within their varieties, advancing the algebraic theory of such structures.
Contribution
It introduces constants into semilattice ordered algebras and characterizes the identities and free objects in their varieties, extending previous algebraic frameworks.
Findings
Identifies identities satisfied by semilattice ordered algebras with constants
Describes the structure of free objects in these algebraic varieties
Provides a foundation for further algebraic and logical applications
Abstract
We continue our studies on semilattice ordered algebras. This time we accept constants in the type of algebras. We investigate identities satisfied by such algebras and describe the free objects in varieties of semilattice ordered algebras with constants.
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 · Rough Sets and Fuzzy Logic