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December 6, 2025Pure and Applied Mathematics JournalOpen Access

AStudy of Quasi-filtrations on a Semiring and Extension of the Generalized Samuel Number iwsubf/sub(g)/ito Quasi-filtrations on a Semiring

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GBGrah Bogui

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Overview

Analysis reveals the generalized Samuel number exists in quasi-filtrations on semirings, indicating novel algebraic properties.

Key Points

  • The generalized Samuel number is defined as the limit of the ratio of quasi-filtrations as n approaches infinity.
  • Key findings demonstrate that under specific conditions, the generalized Samuel number is non-negative and positively homogeneous.
  • This analysis provides foundational insights into asymptotic growth for quasi-filtrations in commutative semirings.
  • Further implications include the development of analytical tools for handling non-symmetrizable algebraic structures.

Cite This Study

Grah Bogui (2025) studied this question.

synapsesocial.com/papers/69337cceb3f947a0a1259cf4https://doi.org/10.11648/j.pamj.20251406.11
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