关于嵌合环 prime 谱的研究
交换代数
2024-11-27 v1
摘要
设 为环同态且 为 的理想，则子环 且 称为 沿 及 的嵌合。本文深入研究嵌合环的 prime 谱，阐明何时 为 pm 环。我们还探讨了嵌合构造中紧凑 packing 与properly zipped 属性的传递情况。
引用
@article{arxiv.2411.16888,
title = {On the prime spectrum of the amalgamations},
author = {Y. Azimi},
journal= {arXiv preprint arXiv:2411.16888},
year = {2024}
}
备注
Example 3.2 and Remark 3.3 are submitted in "Journal of Algebra and its Applications" (at Feb 17, 2024), as a counterexample for the main result of a paper (reference [15]) that noted in the current paper. It is also shown that, the result is valid under an additional assumption