Homological dimensions of complexes related to cotorsion pairs

Chia sẻ: Vi Nguyen | Ngày: | Loại File: PDF | Số trang:18

0
1
lượt xem
0
download

Homological dimensions of complexes related to cotorsion pairs

Mô tả tài liệu
  Download Vui lòng tải xuống để xem tài liệu đầy đủ

Let (A, B) be a cotorsion pair in R-Mod. We define and study notions of A dimension and B dimension of unbounded complexes, which is given by means of dg - projective resolution and dg - injective resolution, respectively. As an application, we extend the Gorenstein flat dimension of complexes, which was defined by Iacob. Gorenstein cotorsion, FP-projective, FP-injective, Ding projective, and Ding injective dimension are also extended from modules to complexes.

Chủ đề:
Lưu

Nội dung Text: Homological dimensions of complexes related to cotorsion pairs

Đồng bộ tài khoản