عنوان	Some homological properties of Borel type ideals
نوع پژوهش	مقاله چاپ‌شده در مجلات علمی
کلیدواژه‌ها	Homological shift ideal,$k$-Borel ideal,$t$-spread Veronese ideal,linear quotient, analytic spread
چکیده	We study ideals of Borel type, including $k$-Borel ideals and $t$-spread Veronese ideals. We determine their free resolutions and their homological shift ideals. The multiplicity and the analytic spread of equigenerated squarefree principal Borel ideals are computed. For the multiplicity, the result is given under an additional assumption which is always satisfied for squarefree principal Borel ideals. These results are used to analyze the behaviour of height, multiplicity and analytic spread of the homological shift ideals $\HS_j(I)$ as functions of $j$, when $I$ is an equigenerated squarefree Borel ideal.
پژوهشگران	یورگن هرزوگ (نفر اول)، سمیه مرادی (نفر دوم)، معصومه رحیم بیگی (نفر سوم)، گوانگجون شو (نفر چهارم)