Indecomposable and irreducible \(t\)-monomial matrices over commutative rings

• Дата: 2016
• Автори: Bondarenko, Vitaliy Mykhaylovych, Bortos, Maria, Dinis, Ruslana, Tylyshchak, Alexander
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2016
• Теми: local ring; similarity; indecomposable matrix; irreducible matrix; canonically \(t\)-cyclic matrix; defining sequence; group; representation; 15B33; 15A30
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/287
• Назва журналу: Algebra and Discrete Mathematics

We introduce the notion of the defining  sequence of a permutation  indecomposable  monomial matrix over a commutative ring and obtain   necessary conditions for such matrices to be indecomposable or irreducible in terms of this sequence.