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Dergiler / Bitlis Eren Üniversitesi Fen Bilimleri Dergisi / 2026 / Volume: 13 Issue: 1

Ring Characterizations with Mutually SS-Supplemented Modules

Rings Characterizations with Mutually SS-Supplemented Modules

Burcu Nişancı Türkmen(AMASYA ÜNİVERSİTESİ)0000-0001-7900-0529
Zehra Betül Meşeci(AMASYA ÜNİVERSİTESİ)0009-0007-9714-5183
Sayfa
—
Yayın Tarihi
2024-03-24
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

It was shown that C=⨁_(ϱ∈Λ ) C_ϱ is a mutually ss-supplemented module which each submodule of C is a fully invariant submodule, for the family of mutually ss-supplemented modules {C_ϱ }_(ϱ∈Λ).

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this text, the notion of mutually ss-supplemented modules characterizes with the help of semiperfect rings.
📊
Temel Bulgular & Veri:For this mutually ss-supplemented modules were first classified according to certain properties.
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Sonuç & Katkı:It was shown that C=⨁_(ϱ∈Λ ) C_ϱ is a mutually ss-supplemented module which each submodule of C is a fully invariant submodule, for the family of mutually ss-supplemented modules {C_ϱ }_(ϱ∈Λ).
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Semisimple modules · Mutually ss-supplemented modules · Mutual supplements

Özet

In this text, the notion of mutually ss-supplemented modules characterizes with the help of semiperfect rings. For this mutually ss-supplemented modules were first classified according to certain properties. These features can be listed as follows in the refinable modules, distributive modules, fully invariant submodules and (π-)projective modules. Especially it was proven that each 𝜋-projective mutually ss-supplemented module is amply mutually ss-supplemented. It was obtained that every ss-supplemented refinable module has direct summand which is a mutually ss-supplement in the module. It was shown that C=⨁_(ϱ∈Λ ) C_ϱ is a mutually ss-supplemented module which each submodule of C is a fully invariant submodule, for the family of mutually ss-supplemented modules {C_ϱ }_(ϱ∈Λ).

Abstract

In this text, the notion of mutually ss-supplemented modules characterizes with the help of semiperfect rings. For this mutually ss-supplemented modules were first classified according to certain properties. These features can be listed as follows in the refinable modules, distributive modules, fully invariant submodules and (π-)projective modules. Especially it was proven that each 𝜋-projective mutually ss-supplemented module is amply mutually ss-supplemented. It was obtained that every ss-supplemented refinable module has direct summand which is a mutually ss-supplement in the module. It was shown that C=⨁_(ϱ∈Λ ) C_ϱ is a mutually ss-supplemented module which each submodule of C is a fully invariant submodule, for the family of mutually ss-supplemented modules {C_ϱ }_(ϱ∈Λ).

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Bu Makaleye Atıf Yap

Türkmen, B. N., Meşeci, Z. B. (2024). Ring Characterizations with Mutually SS-Supplemented Modules. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, Volume: 13 Issue: 1. https://doi.org/10.17798/bitlisfen.1310501

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Kaynakça (11)

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