MODULES WHOSE MAXIMAL SUBMODULES ARE SUPPLEMENTS

Temel Bulgular & Veri:For a locally projective module, we prove that every maximal submodule is a direct summand if and only if it is semisimple and projective.

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Sonuç & Katkı:We give a complete characterization of the modules whose maximal submodules are supplements over Dedekind domains

🔬Tür:Araştırma Makalesi

📍Kapsam:Genişletilmiş Akademik Örneklem

⚙️Değişkenler:Locally projective module · Supplement submodule · 2000 AMS Classification: 13 C 05

Abstract

We study modules whose maximal submodules are supplements (direct summands). For a locally projective module, we prove that every maximal submodule is a direct summand if and only if it is semisimple and projective. We give a complete characterization of the modules whose maximal submodules are supplements over Dedekind domains

Anahtar kelimeler

Locally projective module Supplement submodule 2000 AMS Classification: 13 C 05

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Bu Makaleye Atıf Yap

BÜYÜKAŞİK, E., YILMAZ, D. P. (2022). MODULES WHOSE MAXIMAL SUBMODULES ARE SUPPLEMENTS. Hacettepe Journal of Mathematics and Statistics, Cilt: 39 - Sayı: 4, 477–487. https://ajindex.com/articles/530617

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