On the Number of Indecomposable Modular Representations of a Cyclic p- Group over a Local Ring of Finite Length

Autor:	Alexander Tylyshchak
Rok vydání:	2021
Předmět:	Statistics and Probability p-group Monomial Pure mathematics Ring (mathematics) Mathematics::Commutative Algebra Applied Mathematics General Mathematics Local ring Identity matrix Matrix (mathematics) Indecomposable module Commutative property Mathematics
Zdroj:	Journal of Mathematical Sciences. 258:455-465
ISSN:	1573-8795 1072-3374
Popis:	The series of indecomposable modular representations of a cyclic p -group a over a commutative local nonintegral ring of principal ideals of characteristic p is constructed in the form a → E + M , where E is the identity matrix and M is a monomial matrix. We establish a criterion for the equivalence of these representations and determine the number of nonequivalent indecomposable representations of a given form and fixed degree for the introduced relation of *-equivalence.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::90c9c44480298bda9f24bd396f709f81 https://doi.org/10.1007/s10958-021-05560-7 Zobrazit plný text záznamu Plný text ve formátu PDF