Let R be a commutative noetherian ring and Γ a finite group. In this paper,we study Gorenstein homological dimensions of modules with respect to a semi-dualizing module over the group ring  . It is shown that Gorenstein homological dimensions  of an  -RΓ module M with respect to a semi-dualizing module,  are equal over R and RΓ  .

Let X be a compact Hausdorff space, and let {Ax : x ∈ X} {Bx collections of Banach algebras such that each Ax is Bx-bimodule. Using the theory bundles spaces as tool, we investigate module amenability certain Ax-valued functions on over Bx-valued X.

BACKGROUND MicroRNAs (miRNAs) are small RNAs that recognize and regulate mRNA target genes. Multiple lines of evidence indicate that they are key regulators of numerous critical functions in development and disease, including cancer. However, defining the place and function of miRNAs in complex regulatory networks is not straightforward. Systems approaches, like the inference of a module networ...

Let $(R,underline{m})$ be a commutative Noetherian local ring and $M$ be a non-zero finitely generated $R$-module. We show that if $R$ is almost Cohen-Macaulay and $M$ is perfect with finite projective dimension, then $M$ is an almost Cohen-Macaulay module. Also, we give some necessary and sufficient condition on $M$ to be an almost Cohen-Macaulay module, by using $Ext$ functors.

When considering implementing integrated curriculum models, such as problem-based learning (PBL), concerns may be expressed about the need for increased staff resources required to deliver tutor-led small group PBL. Less staff intensive ways of supporting PBL need to be explored. We compared the outcomes of a PBL module conducted in a large class format within a lecture theatre with a module ha...

Pharmaceutical promotion is an integral part of modern medical practice. Surveys show that medical students have a positive attitude towards promotion. Pharmaceutical promotion is not adequately taught in medical schools. A module based on the manual produced by Health Action International was conducted for second year medical students at KIST Medical College, Lalitpur, Nepal. Student feedback ...