scholarly journals A Characterization for an L(μ,K)-Topological Module to Admit Enough Canonical Module Homomorphisms

2001 ◽  
Vol 263 (2) ◽  
pp. 580-599 ◽  
Author(s):  
Guo Tie-Xin ◽  
Peng Sheng-Lan
Keyword(s):  
Canonical Module ◽  
Topological Module

scholarly journals φ-Multipliers on Banach Algebras and Topological Modules

2015 ◽  
Vol 2015 ◽  
pp. 1-6
Author(s):  
Marjan Adib
Keyword(s):  
Compact Group ◽  
Banach Algebra ◽  
Banach Algebras ◽  
Topological Module ◽  
Topological Modules ◽  
Arens Regularity

We prove some results concerning Arens regularity and amenability of the Banach algebraMφAof allφ-multipliers on a given Banach algebraA. We also considerφ-multipliers in the general topological module setting and investigate some of their properties. We discuss theφ-strict andφ-uniform topologies onMφA. A characterization ofφ-multipliers onL1G-moduleLpG, whereGis a compact group, is given.

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.

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