A note on regular perturbation theories

A note on semi-regular locales

Semi-regular locales are extensions of the classical semiregular spaces. We investigate the conditions such that semi-regularization is a functor. We also investigate the conditions such that semi-regularization is a reflection or coreflection.

a note on semi-regular locales

semi-regular locales are extensions of the classical semiregularspaces. we investigate the conditions such that semi-regularizationis a functor. we also investigate the conditions such that semi-regularizationis a reflection or coreflection.

A Note on Modeling Theories

We discuss formats for formal theories, from sets of models to more complex constructs with an epistemic slant, clarifying the issue of what it means to update a theory. Using properties of verisimilitude as a lead, we also provide some connections between formal calculus of theories in the philosophy of science and modal-epistemic logics. Throughout, we use this case study as a platform for di...

A Note On Equational Theories

Note on regular and coregular sequences

Let R be a commutative Noetherian ring and let M be a nitely generated R-module. If I is an ideal of R generated by M-regular sequence, then we study the vanishing of the rst Tor functors. Moreover, for Artinian modules and coregular sequences we examine the vanishing of the rst Ext functors.