arXiv Open Access 2023

On when the union of two algebraic sets is algebraic

Erhard Aichinger Mike Behrisch Bernardo Rossi

Lihat Sumber

Abstrak

In universal algebraic geometry, an algebra is called an equational domain if the union of two algebraic sets is algebraic. We characterize equational domains, with respect to polynomial equations, inside congruence permutable varieties, and with respect to term equations, among all algebras of size two and all algebras of size three with a cyclic automorphism. Furthermore, for each size at least three, we prove that, modulo term equivalence, there is a continuum of equational domains of that size.

Topik & Kata Kunci

math.RA math.LO

Penulis (3)

Erhard Aichinger

Mike Behrisch

Bernardo Rossi

Format Sitasi

APA MLA BibTeX

Aichinger, E., Behrisch, M., Rossi, B. (2023). On when the union of two algebraic sets is algebraic. https://arxiv.org/abs/2309.00478

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2023
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓