On normalizers in fuzzy groups

• Дата: 2018
• Автори: Kurdachenko, L. A., Grin, K. O., Turbay, N. A.
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2018
• Теми: Fuzzy group; fuzzy subgroup; lower central series; nilpotent fuzzy group; normalizer condition; ascendant fuzzy subgroup; characteristic function; Primary 20N25; 08A72; 03E72
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/732
• Назва журналу: Algebra and Discrete Mathematics

In an arbitrary fuzzy group we define the normalizer of fuzzy subgroup and study some its properties. In particular, the characterization of nilpotent fuzzy group has been obtained.