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Peer-Review Record

Para-Associative Algebroids

Mathematics 2025, 13(14), 2237; https://doi.org/10.3390/math13142237
by Andrew James Bruce
Reviewer 1: Anonymous
Reviewer 2: Anonymous
Mathematics 2025, 13(14), 2237; https://doi.org/10.3390/math13142237
Submission received: 12 June 2025 / Revised: 9 July 2025 / Accepted: 9 July 2025 / Published: 10 July 2025

Round 1

Reviewer 1 Report

Comments and Suggestions for Authors

See the file.

Comments for author File: Comments.pdf

Author Response

Thank you for carefully reading the paper. I have implemented the three changes you suggested. 

Author Response File: Author Response.pdf

Reviewer 2 Report

Comments and Suggestions for Authors

In this work, the author introduces para-associative algebroids via a vector bundle where $Sec(E)$ is a para-associative $C^\inf(M)$-algebra. The connections between vector bundles and para-associative algebroids are examined, along with a similar treatment for real para-associative algebras. Several examples are provided. In Section 2.5, para-associative algebra bundles are presented, and their relationship with para-associative algebroids is explained. I find the paper to be well-written, with a clear structure that is easy to follow for readers in the field. However, I suggest that the author add a concluding section to summarize the findings and discuss any limitations of the work for the benefit of the readers. Based on these comments, I recommend a minor revision.

Author Response

Thank you for carefully reading the paper. I have improved the introductory paragraphs to each of the subsections and included references where needed.

Author Response File: Author Response.pdf

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