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Journals / Fundamentals of Contemporary Mathematical Sciences / 2026 / Volume: 5 Issue: 1

Dimodules

Ertuğrul Akçay(GIRESUN UNIVERSITY, INSTITUTE OF SCIENCE)0000-0002-4515-9344
Canan Akın(GIRESUN UNIVERSITY, FACULTY OF ARTS AND SCIENCES)0000-0002-8922-3272
Pages
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Publication Date
2024-01-31
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

We also have examples of dimonoids and dimonoid homomorphisms.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This paper introduces a new algebraic structure called dimodule.
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Key Findings & Data:This structure is similar to a module.
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Conclusion & Impact:We also have examples of dimonoids and dimonoid homomorphisms.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Dimonoid · Semigroup · Dimodule

Abstract

This paper introduces a new algebraic structure called dimodule. This structure is similar to a module. A dimodule occurs on a semigroup and a dimonoid in place of an additive abeliangroup and a ring, respectively. This paper presents some algebraic properties of the dimodules and supplies some of their examples. We suggest a de nition of a distributive dimonoid. This paper includes examples of this notion that a distributive dimonoid does not have to be a commutative and idempotent dimonoid. We also have examples of dimonoids and dimonoid homomorphisms.

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Cite This Article

Akçay, E., Akın, C. (2024). Dimodules. Fundamentals of Contemporary Mathematical Sciences, Volume: 5 Issue: 1. https://doi.org/10.54974/fcmathsci.1273407

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