Homological aspects of n-trivial extensions of rings

@misc{mao2026homological,
  title = {{Homological aspects of n-trivial extensions of rings}},
  author = {Lixin Mao},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.00855},
  eprint = {2609.00855},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.00855},
  note = {CC BY-NC-SA 4.0},
}

TY  - UNPB
TI  - Homological aspects of n-trivial extensions of rings
AU  - Lixin Mao
PY  - 2026
DA  - 2026/09/14
PB  - arXiv
DO  - 10.48550/arxiv.2609.00855
UR  - https://arxiv.org/abs/2609.00855
AB  - Let Rltimes_nM be the n-trivial extension of a ring R by an R-bimodule M. We first characterize projective, injective, flat and finitely generated modules over Rltimes_nM. Then we describe when the ring Rltimes_nM is left perfect (Noetherian, coherent, Artinian, hereditary, Kasch). Finally, we establish some homological formulas of n-trivial extensions of rings.
ER  -