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n -strongly Gorenstein graded modules

Zenghui GaoJie Peng — 2019

Czechoslovak Mathematical Journal

Let R be a graded ring and n 1 an integer. We introduce and study n -strongly Gorenstein gr-projective, gr-injective and gr-flat modules. Some examples are given to show that n -strongly Gorenstein gr-injective (gr-projective, gr-flat, respectively) modules need not be m -strongly Gorenstein gr-injective (gr-projective, gr-flat, respectively) modules whenever n > m . Many properties of the n -strongly Gorenstein gr-injective and gr-flat modules are discussed, some known results are generalized. Then we investigate...

On critical values of twisted Artin L -functions

Peng-Jie Wong — 2017

Czechoslovak Mathematical Journal

We give a simple proof that critical values of any Artin L -function attached to a representation ρ with character χ ρ are stable under twisting by a totally even character χ , up to the dim ρ -th power of the Gauss sum related to χ and an element in the field generated by the values of χ ρ and χ over . This extends a result of Coates and Lichtenbaum as well as the previous work of Ward.

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