PreprintCC BY 4.0arXiv
Irreducible ℤ+-modules over ℤ[√[m]d1,√[m]d2,…, √[m]dr]
Abstract
Let d1,d2,…, dr≥ 2 be m-th power free positive integers. In this paper, we provide explicit representations of all irreducible ℤ+-modules over ℤ[√[m]d1,√[m]d2,…,√[m]dr], where ℤ+ denotes the semiring of non-negative integers.
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BibTeX
@misc{kumar2026irreducible,
title = {{Irreducible $\mathbb Z_+$-modules over $\mathbb Z[\sqrt[m]d_1,\sqrt[m]d_2,\ldots, \sqrt[m]d_r]$}},
author = {Surender Kumar and Sumandeep Kaur},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.36904},
eprint = {2609.36904},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.36904},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Irreducible ℤ_+-modules over ℤ[√[m]d_1,√[m]d_2,…, √[m]d_r]
AU - Surender Kumar
AU - Sumandeep Kaur
PY - 2026
DA - 2026/09/29
PB - arXiv
DO - 10.48550/arxiv.2609.36904
UR - https://arxiv.org/abs/2609.36904
AB - Let d_1,d_2,…, d_r≥ 2 be m-th power free positive integers. In this paper, we provide explicit representations of all irreducible ℤ_+-modules over ℤ[√[m]d_1,√[m]d_2,…,√[m]d_r], where ℤ_+ denotes the semiring of non-negative integers.
ER -