in this work, we investigate the transfer of some homological properties from a ring $r$ to its amalgamated duplication along some ideal $i$ of $r$ $rbowtie i$, and then generate new and original families of rings with these properties.

for a ring endomorphism $alpha$ and an $alpha$-derivation $delta$, we introduce a concept, so called skew $pi$-armendariz ring, that is a generalization of both $pi$-armendariz rings, and $(alpha,delta)$-compatible skew armendariz rings. we first observe the basic properties of skew $pi$-armendariz rings, and extend the class of skew $pi$-armendariz rings through various ring extensions. we nex...

A dual-beam coherent feeding system design approach with a non-uniform layout on concentric ring array is described and synthesized. In this case, the based reconfigurable topology composed of set alternated power dividers combiners, providing in-phase outputs. Thus, in paper, two-beam architecture formed by intercalated input signals each circular antenna multi-beam shaping steering features a...

The generalization of the area theorem is derived for case a pulse circulating inside ring laser cavity. In contrast to standard theorem, which valid single pass traveling through resonant medium, obtained generalized takes into account medium-assisted nonlinear self-action effects medium excitation left by at previous round-trip in was then applied theoretical description dynamics single-secti...