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October 16, 20250 citationsOpen Access

Second semimodules over commutative semirings

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FFF. Farshadifar

Key Points

  • Second subsemimodules exhibit unique behavior where scalar multiplications lead to specific outcomes.
  • For any element in a semiring, the condition aS = S or aS = 0 defines second subsemimodules.
  • Semimodules provide a generalized framework for structure analysis over commutative semirings.
  • This study emphasizes the significance of understanding second subsemimodules to advance algebraic research.

Abstract

Let R be a semiring. We say that a non-zero subsemimodule S of an R-semimodule M is second if for each a R, we have aS = S or aS = 0. The aim of this paper is to study the notion of second subsemimodules of semimodules over commutative semirings.

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Cite This Study

F. Farshadifar (2025) studied this question.

synapsesocial.com/papers/68f147cc724575985c3fd245https://doi.org/10.48550/arxiv.2505.09966
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Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1Second modules relative to subclasses of preradicals of $R$-Mod2024
  2. 2Semidualizing modules over numerical semigroup rings2024 · 1 citations
  3. 3On weakly S-second submodules2026
  4. 4On seminoetherian noncommutative rings and modules2026
  5. 5On 1-absorbing prime and weakly 1-absorbing prime subsemimodules2025