Contravariantly finite resolving subcategories of the category of finitely generated modules have been playing an important role in the representation theory of algebras. In this paper we study contravariantly finite resolving subcategories over commutative rings. The main purpose of this paper is to classify contravariantly finite resolving subcategories over a henselian Gorenstein local ring;...

We demonstrate that commutativity of numerous one-dimensional subalgebras in W1+∞ algebra, i.e. the existence many non-trivial integrable systems described recent arXiv:2303.05273 follows from subset relations algebra known as Serre relations. No other are needed for commutativity. The survive deformation to affine Yangian Y(glˆ1), hence commutative do well. A special case parameters correspond...

BACKGROUND One dilemma in the end-of-life care is making decisions for conducting cardiopulmonary resuscitation (CPR). This dilemma is perceived in different ways due to the influence of culture and religion. This study aimed to understand the experiences of CPR team members about the do-not-resuscitate order. METHODS CPR team members were interviewed, and data were analyzed using a conventio...

We study relations between the Serre dimension defined as growth of entropy functor and global Bridgeland stability conditions due to Ikeda–Qiu. A fundamental inequality infimum dimensions is proved. Moreover, we characterize Gepner type on fractional Calabi–Yau categories via dimension, classify triangulated lower than one with a condition.