A note on the multiplicity and final Betti number of a level algebra

作者：Shirmohammadi N^*

来源：Journal of Algebra and Its Applications, 2017, 16(2): 1750033.

DOI：10.1142/S0219498817500335

• Betti number
• level ring
• multiplicity

Let S be a polynomial ring over a field K and let R = S/I be a Cohen-Macaulay level algebra where I is a graded ideal. In this paper, as a comparison of multiplicity and final Betti number of R over S, the inequality beta(p)(R) <= p/M-p e(R) is obtained.

• 出版日期2017-2