We show that a properly stratified algebra is Gorenstein if and only the characteristic tilting module coincides with cotilting module. further algebras A enjoy strong homological properties such as all projective modules being endomorphism rings End ( Δ i ) Frobenius algebras. apply our results to study of are minimal Auslander-Gorenstein in sense Iyama-Solberg calculate under suitable conditi...

We will show that the singular cohomology groups of a smooth quasi-projective complex variety relative to normal crossing divisor can be described in terms delta-admissible chains. Roughly speaking, chain is simplicial semi-algebraic meeting faces properly. As an application, we Abel-Jacobi map for higher Chow cycles via example, describe Hodge realization polylog constructed by Bloch-Kriz map.

Neurolinguistic investigations support the dissociation between speech production and speech perception in the case of aphasia. This means that an aphasic patient may be able to understand words and sentences while he is not able to produce them or, he may be able to produce certain linguistic forms properly while he is not able to detect the semantics of verbal utterances. Empirical data, howe...