The filter of interpretability types of Hobby-McKenzie varieties is prime

التفاصيل البيبلوغرافية
العنوان: The filter of interpretability types of Hobby-McKenzie varieties is prime
المؤلفون: Bodor, Bertalan, Gyenizse, Gergő, Maróti, Miklós, Zádori, László
سنة النشر: 2024
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Combinatorics, 03C05 08B05
الوصف: We study the Hobby-McKenzie varieties that constitute a major class investigated thoroughly in the monograph The shape of congruence lattices by Kearnes and Kiss. We obtain new characterizations of the Hobby-McKenzie varieties via compatible reflexive ternary structures. Based on our findings, we prove that in the lattice of interpretability types of varieties, the filter of the interpretability types of Hobby-McKenzie varieties is prime.
Comment: arXiv admin note: text overlap with arXiv:2307.12902
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2406.16669
رقم الأكسشن: edsarx.2406.16669
قاعدة البيانات: arXiv