.

A bstract We consider a class of 2d ? -models on products group spaces that provide new examples close connection between integrability and stability under the RG flow. first study integrable G × model derived from affine Gaudin construction (for which 1-loop ? -functions were found in arXiv:2010.07879 ) show its condition is preserved also by 2-loop then investigate flow gauged G/H model, part...

To a simple graph $G=(V,E)$, we correspond a simple graph $G_{triangle,square}$ whose vertex set is ${{x,y}: x,yin V}$ and two vertices ${x,y},{z,w}in G_{triangle,square}$ are adjacent if and only if ${x,z},{x,w},{y,z},{y,w}in Vcup E$. The graph $G_{triangle,square}$ is called the $(triangle,square)$-edge graph of the graph $G$. In this paper, our ultimate goal is to provide a link between the ...

Let G be a flat finite-type group scheme over a scheme S, and X a noetherian S-scheme on which G-acts. We define and study G-prime and G-primary G-ideals on X and study their basic properties. In particular, we prove the existence of minimal G-primary decomposition and the well-definedness of G-associated G-primes. We also prove a generalization of Matijevic–Roberts type theorem. In particular,...

We have tried to investigate various carbohydrates production and cellulose degrading enzyme activity in the culture broth of cellulose producing microorganism, Acetohacter xylinum to clarify the role of cellulase for cellulose production. Carboxymethylcellulose (CMC) degrading activity and various oligosaccharides in addition to cellulose have already been detected after one-day culture. These...

Cellulose synthesis in bacteria is a complex process involving the concerted action of several enzymes whose genes are often organized in operons. This process influences many fundamental physiological aspects such as bacteria and host interaction, biofilm formation, among others. Although it might sound contradictory, the participation of cellulose-degrading enzymes is critical to this process...

D-Sorbitol and dulcitol (galactitol), which, together with D-mannitol, are the three naturally occurring hexitols, have been known since the last quarter of the nineteenth century. Many fungi can utilize sorbitol for growth, but dulcitol is assimilated poorly by Aspergillus niger and a few yeasts. Among bacterial fermentations of these hexitols the best known are those by members of the Acetoba...

Acetobacter xylinum sllbsp. sucrojlermentans BPR2001, a cellulose-producing bacterillm, that was newly isolated from a natural source, prodllced large amounts of the water-soluble po]ysaccharide, acetan. UDP-glucose is known to be the direct precllrsor in the synthetic pathways of both cellulose and acetan. We attempted to breed mutant strains and succeeded in obtalning olle, BPR3001A, which pr...

During the course of some physiological studies with Acetobacter melanogenum it became necessary to investigate the nutritional requirements of several isolates in considerable detail. Grey and Tatum (1944) already had described a minimal medium for growth of one isolate of this species. However, since only one isolate was studied and the nutritional observations were made more or less incident...