Regularity and finite injective dimension in characteristic p > 0

2010 ◽  
Vol 47 (1) ◽  
pp. 108-112
Author(s):  
Tiberiu Dumitrescu ◽  
Cristodor Ionescu
Keyword(s):  
Local Rings ◽  
Prime Characteristic ◽  
Injective Dimension ◽  
Characteristic P ◽  
Frobenius Map ◽  
Regular Local Rings

Recently, the regular local rings of prime characteristic were characterized in terms of the finiteness of injective dimension of the Frobenius map. We obtain relative versions of this result.

scholarly journals Characterizations of regular local rings via syzygy modules of the residue field

2018 ◽  
Vol 10 (3) ◽  
pp. 327-337
Author(s):  
Dipankar Ghosh ◽  
Anjan Gupta ◽  
Tony J. Puthenpurakal
Keyword(s):  
Residue Field ◽  
Local Rings ◽  
Syzygy Modules ◽  
Regular Local Rings
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