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2018•Prykladni Problemy Mekhaniky i MatematykyOpen access

On number of indecomposable modular representations of cyclic $p$-group over finite local ring

O. A. Tylyshchak

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Abstract

It had been found the number of non-equivalent indecomposable representations of a special form of a cyclic p -group over a finite commutative local ring of finite length of characteristic p . Cite as: O. A. Tylyshchak, “On number of indecomposable modular representations of cyclic p -group over finite local ring,” Prykl. Probl. Mekh. Mat., Issue 16, 19–29 (2018) (in Ukrainian), https://doi.org/10.15407/apmm2018.16.19-29

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What this paper is about

It had been found the number of non-equivalent indecomposable representations of a special form of a cyclic p -group over a finite commutative local ring of finite length of characteristic p . Cite as: O. A. Tylyshchak, “On number of indecomposable modular representations of cyclic p -group over finite local ring,” Prykl. Probl. Mekh. Mat., Issue 16, 19–29 (2018) (in Ukrainian), https://doi.org/10.15407/apmm2018.16.19-29

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Available abstract

It had been found the number of non-equivalent indecomposable representations of a special form of a cyclic p -group over a finite commutative local ring of finite length of characteristic p . Cite as: O. A. Tylyshchak, “On number of indecomposable modular representations of cyclic p -group over finite local ring,” Prykl. Probl. Mekh. Mat., Issue 16, 19–29 (2018) (in Ukrainian), https://doi.org/10.15407/apmm2018.16.19-29

Key concepts: Indecomposable module, Cyclic group, Mathematics, Group ring, Ring (chemistry), Local ring, Group (periodic table), Finite group

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