TY - JOUR AU - A. Azari AU - A. Khojali AU - N. Zamani PY - 2020/10/25 Y2 - 2024/03/29 TI - Vanishing and Artinianness of graded generalized local cohomology JF - Ukrains’kyi Matematychnyi Zhurnal JA - Ukr. Mat. Zhurn. VL - 72 IS - 10 SE - Research articles DO - 10.37863/umzh.v72i10.6026 UR - https://umj.imath.kiev.ua/index.php/umj/article/view/6026 AB - UDC 512.5Let $R=\oplus_{j\geq 0}R_j$ be a homogeneous Noetherian ring with semilocal base ring $R_0.$ Let $R_+=\oplus_{j\geq 1}R_j$ be the irrelevant ideal of $R.$ For two finitely generated graded $R$-modules $M$ and $N,$ several results on the vanishing, Artiniannes and tameness property of the graded $R$-modules $H^i_{R_+}(M, N)$ will be investigated.    ER -