scholarly journals Cohen–Macaulayness and canonical module of residual intersections

2019 ◽  
Vol 372 (3) ◽  
pp. 1601-1630 ◽  
Author(s):  
Marc Chardin ◽  
José Naéliton ◽  
Quang Hoa Tran
Keyword(s):  
Canonical Module

scholarly journals On Canonical Modules of Toric Face Rings

2009 ◽  
Vol 194 ◽  
pp. 69-90
Author(s):  
Bogdan Ichim ◽  
Tim Römer
Keyword(s):  
Canonical Module ◽  
Face Ring

AbstractGeneralizing the concepts of Stanley-Reisner and affine monoid algebras, one can associate to a rational pointed fan Σ in ℝd the ℤd-graded toric face ring K[Σ]. Assuming that K[Σ] is Cohen-Macaulay, the main result of this paper is to characterize the situation when its canonical module is isomorphic to a ℤd-graded ideal of K[Σ]. From this result several algebraic and combinatorial consequences are deduced. As an application, we give a relation between the cleanness of K[Σ] and the shellability of Σ.

scholarly journals The canonical modules of graded rings defined by generic matrices

1981 ◽  
Vol 81 ◽  
pp. 105-112 ◽  
Author(s):  
Yuji Yoshino
Keyword(s):  
Polynomial Ring ◽  
Quotient Ring ◽  
Graded Rings ◽  
Canonical Module ◽  
Graded Ring ◽  
The Ideal

Let k be a field, and X = [xij] be an n × (n + m) matrix whose elements are algebraically independent over k.We shall study the canonical module of the graded ring R, which is a quotient ring of the polynomial ring A = k[X] by the ideal αn(X) generated by all the n × n minors of X.

Linear codes associated to the ideal of points in PdAnd its canonical module

1996 ◽  
Vol 24 (3) ◽  
pp. 1083-1090 ◽  
Author(s):  
C. Renteria ◽  
Tapia H. Recillas
Keyword(s):  
Linear Codes ◽  
Canonical Module ◽  
The Ideal
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