Frobenius functors and Gorenstein homological properties
XW Chen, W Ren - Journal of Algebra, 2022 - Elsevier
We prove that any faithful Frobenius functor between abelian categories preserves the
Gorenstein projective dimension of objects. Consequently, it preserves and reflects …
Gorenstein projective dimension of objects. Consequently, it preserves and reflects …
[PDF][PDF] Frobenius functors and Gorenstein homological properties
XW Chen, W Ren - Journal of Algebra, 2022 - ustc.edu.cn
Frobenius extensions between rings are classical in algebra, which extend the notion of a
Frobenius algebra over a field. For example, the group algebra kG of a finite group G over a …
Frobenius algebra over a field. For example, the group algebra kG of a finite group G over a …
Frobenius functors and Gorenstein homological properties
XW Chen, W Ren - arXiv preprint arXiv:2008.11467, 2020 - arxiv.org
We prove that any faithful Frobenius functor between abelian categories preserves the
Gorenstein projective dimension of objects. Consequently, it preserves and reflects …
Gorenstein projective dimension of objects. Consequently, it preserves and reflects …
Frobenius functors and Gorenstein homological properties
XW Chen, W Ren - arXiv e-prints, 2020 - ui.adsabs.harvard.edu
We prove that any faithful Frobenius functor between abelian categories preserves the
Gorenstein projective dimension of objects. Consequently, it preserves and reflects …
Gorenstein projective dimension of objects. Consequently, it preserves and reflects …