Relative singularity categories, Gorenstein objects and silting theory

J Wei - Journal of Pure and Applied Algebra, 2018 - Elsevier
We study singularity categories through Gorenstein objects in triangulated categories and
silting theory. Let ω be a presilting subcategory of a triangulated category T. We introduce …

[PDF][PDF] The amalgamated duplication of a ring along a semidualizing ideal

M Salimi, E Tavasoli, S Yassemi - Rendiconti del Seminario …, 2013 - numdam.org
Let R be a commutative Noetherian ring and let I be an ideal of R. In this paper, after
recalling briefly the main properties of the amalgamated duplication ring RI which is …

Comaximal graph of amalgamated algebras along an ideal

H Shoar, M Salimi, A Tehranian, H Rasouli… - Journal of Algebra and …, 2023 - World Scientific
Let R and S be commutative rings with identity, J be an ideal of S, and let f: R→ S be a ring
homomorphism. The amalgamation of R with S along J with respect to f denoted by R⋈ f J …

[PDF][PDF] Semicommutativity of amalgamated rings

H Kose, Y Kurtulmaz, B Ungor, A Harmanci - J. Math. Res. Appl, 2018 - academia.edu
Semicommutativity of Amalgamated Rings Page 1 Journal of Mathematical Research with
Applications Jul., 2018, Vol. 38, No. 4, pp. 366–376 DOI:10.3770/j.issn:2095-2651.2018.04.004 …