Mathematics - Research News

Kronecker function rings and power series rings

 Mathematics - Research News
 13 May 2020
Gyu Whan Chang. Source: Journal of Commutative Algebra, Volume 12, Number 1, 27--51.Abstract: Let [math] be an integral domain with quotient field [math] , [math] be an indeterminate over [math] , [math] be the power series ring over [math] , and [math] be the ideal of [math] generated by the...

On the Gorenstein defect categories

 Mathematics - Research News
 13 May 2020
Javad Asadollahi, Tahereh Dehghanpour, Rasool Hafezi. Source: Journal of Commutative Algebra, Volume 12, Number 1, 1--26.Abstract: The main theme of this paper is to study different “Gorenstein defect categories” and their connections. This is done by studying rings for which [math] , that is,...

The $p$-radical closure of local noetherian rings

 Mathematics - Research News
 13 May 2020
Stefan Schröer. Source: Journal of Commutative Algebra, Volume 12, Number 1, 135--151.Abstract: Given a local noetherian ring [math] whose formal completion is integral, we introduce and study the [math] -radical closure [math] . Roughly speaking, this is the largest purely inseparable [math]...

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