NOTE ON GRADED IDEALS WITH LINEAR FREE RESOLUTION AND LINEAR QUOTIENS IN THE EXTERIOR ALGEBRA

• Tác giả: Dinh Duc Tai, Dinh Phong Thieu
• Ngôn ngữ: eng
• Thông tin xuất bản: Tạp chí Khoa học - Trường Đại học Vinh, 2019
• Bộ sưu tập: Metadata
• ID: 455989

Tóm tắt

The goal of this note is to study graded ideals with linear free resolution and linear quotients in the exterior algebra. We use an extension of the notion of linear quotients, namely componentwise linear quotients, to give another proof of the well-known result that an ideal with linear quotients is componentwise linear. After that, we consider special cases where a product of linear ideals has a linear free resolution.