On the identities in algebras generated by linearly connected idempotents

• Дата: 2004
• Автори: Rabanovych, V. I., Samoilenko, Yu. S., Strilets, O. V., Рабанович, В. И., Самойленко, Ю. С., Стрелец, А. В.
• Формат: Стаття
• Мова: Російська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2004
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/3798
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We investigate the problem of the existence of polynomial identities (PI) in algebras generated by idempotents whose linear combination is equal to identity. In the case where the number of idempotents is greater than or equal to five, we prove that these algebras are not PI-algebras. In the case of...