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math.AC2017★ 2 cited
The First Syzygy of Hibi Rings Associated with Planar distributive lattices
Priya Das, Himadri Mukherjee
Let be a finite distributive lattice and be a polynomial ring over a field and $I=\langle x_αx_β- x_{α\vee β} x_{α\wedgeβ} : α\nsim β…
math.RA2017
Polynomial Rings Over Commutative Reduced Hopfian Local Rings
Alpesh M. Dhorajia, Himadri Mukherjee
In this paper we prove that if is a commutative, reduced, local ring, then is Hopfian if and only if the ring is Hopfian. This answers a question of Varadarajan, in…