Let $f:A\rightarrow B$ be a ring homomorphism and $K$ an ideal of $B$. Many variations the notions clean nil-clean rings have been studied by variety authors. We investigate strongly $\pi$-regular clean-like properties amalgamation $A\bowtie^{f}K$ $A$ with $B$ along respect to $f$.

It is shown how a pure background tensor formalism provides a concise but explicit and highly flexible machinery for the generalised curvature analysis of individual embedded surfaces and foliations such as arise in the theory of topological defects in cosmological and other physical contexts. The unified treatment provided here shows how the relevant extension of the Raychaudhuri identity is r...

De novo duplication of 2q is very rare. Most cases of 2q duplications result from familial translocations, and are associated with simultaneous monosomy of another chromosome segment. To our knowledge and search in English literature there are less than 20 reported cases of isolated 2q duplication. Hereby we introduce a 4.5-year-old Iranian boy of a non-consanguineous marriage who was referred ...

Added the 2 new JPAII activities in WP5 to the Conclusions References amalgamated, sorted into alphabetical order and moved to end of document. Additional web links added.

MOTIVATION Traditionally, gene phylogenies have been reconstructed solely on the basis of molecular sequences; this, however, often does not provide enough information to distinguish between statistically equivalent relationships. To address this problem, several recent methods have incorporated information on the species phylogeny in gene tree reconstruction, leading to dramatic improvements i...

In the spirit of Diffie Hellman the concept of a protocol algebra is introduced using certain amalgamated free product of Braid group (B) and Thompson group (T ) together with a nilpotent subgroup H of index 2