… Let C be a semidualizing module over a commutative Noether… class of modules, namely
C-canonical modules which are a … define a C-canonical module (or a canonical module for C) …

… modules and generalizations as corollaries of our results. In Section 7 we continue our
investigation on C-extending modules … extensions of a module A which are C-extending by using …

… character formulas for the simple and tilting modules in terms of the p-canonical basis, as
well as a … a right D-module category and we have a canonical isomorphism of right H-modules …

… C ⊂ Rn, and by Danilov’s Theorem the canonical module ωRn,d is the K-span of the monomials
in the relative interior of C. We … points of the cone C and a generating system for ωRn,d . …

… We define canonical and n-canonical modules of a module-finite algebra over a Noether …
Using n-canonical modules, we generalize a theorem on (n, C)-syzygy by Araya and Iima …

… a finitely generated R-module. In this paper, we study the structure of the canonical module
K(R … The purpose of this paper is to study the polynomial type of the canonical module of the …

… We fix a chamber C in the (semisimple) building X of G as well as a hyperspecial vertex x 0
of C. The … The pointwise stabilizer J ⊆ K of C is an Iwahori subgroup. In fact, let G x 0 and G …

… canonical modules. Characterizations of the trace ideals in terms of annihilators of certain
Ext modules … weakly almost Gorenstein rings using the canonical module, and show that they …

… Concerning the complexity of the module category over Λ there are three types of canonical
… the matrices of special modules can be exhibited by 0, 1 matrices. This was shown by C. M. …

… C Φ i , a are straightforward and they are built in a canonical … The modules in C Φ i , a are
Schur modules and Weyl modules corresponding to hooks. In other words, the modules in C Φ …