What does this research mean for the field?

Under suitable algebraic conditions, the presence of left derivations and multipliers satisfying certain differential identities enforces commutativity in quotient near-rings defined modulo 3-prime ideals. Novelty: ClaimNovelty.NOVEL_FINDING. Consensus alignment: ConsensusAlignment.NEUTRAL.

What question did this study set out to answer?

The aim is to explore conditions for commutativity in quotient near-rings formed from 3-prime ideals.

March 7, 2026Discrete Mathematics Algorithms and Applications

Differential Identities and Commutativity in Quotient Near-Rings over 3-Prime Ideals

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Authors

SAS. El AmraniUniversité Sultan Moulay Slimane ARA. RajiUniversité Sultan Moulay Slimane

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Implication

This investigation shows commutativity in quotient near-rings, suggesting new criteria for algebraic structures.

Key Points

The aim is to explore conditions for commutativity in quotient near-rings formed from 3-prime ideals.
Investigated interplay between left derivations and multipliers
Established criteria for commutativity in quotient structures
Utilized structural lemmas involving semigroup ideals and central elements
Demonstrated that specific algebraic conditions enforce commutativity
Proved that relaxing the 3-primeness assumption may lead to non-commutative quotients
Provided an explicit example illustrating the necessity of the 3-prime condition

Cite This Study

Amrani et al. (2026) studied this question.

synapsesocial.com/papers/69abc1645af8044f7a4e9f7c https://doi.org/10.1142/s1793830926500308

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Differential Identities and Commutativity in Quotient Near-Rings over 3-Prime Ideals

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Implication

Key Points

Cite This Study

Differential Identities and Commutativity in Quotient Near-Rings over 3-Prime Ideals

Discussion

Member takes

Implication

Key Points

Cite This Study

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Also Consider