A countable family of finitely presented infinite congruence-free monoids

Fatma Al-Kharousi, Alan J. Cain, Victor Maltcev, Abdullahi Umar

نتاج البحث: المساهمة في مجلةمراجعة النظراء

ملخص

We prove that the monoids Monha, b, c, d: anb = 0, ac = 1, db = 1, dc = 1, dab = 1, da 2 b = 1,.., dan-1 b = 1i are congruence-free for all n = 1. This provides a new countable family of finitely presented congruence-free monoids, bringing us one step closer to understanding the monoid version of the Boone-Higman Conjecture. We also provide examples showing that finitely presented congruence-free monoids may have quadratic Dehn function.

اللغة الأصليةEnglish
الصفحات (من إلى)437-445
عدد الصفحات9
دوريةActa Scientiarum Mathematicarum
مستوى الصوت81
رقم الإصدار3-4
المعرِّفات الرقمية للأشياء
حالة النشرPublished - 2015

ASJC Scopus subject areas

  • ???subjectarea.asjc.2600.2603???
  • ???subjectarea.asjc.2600.2604???

بصمة

أدرس بدقة موضوعات البحث “A countable family of finitely presented infinite congruence-free monoids'. فهما يشكلان معًا بصمة فريدة.

قم بذكر هذا