The torus manifolds have been defined and studied by Masuda and Panov ([7]) who in particular also describe its cohomology ring structure. In this note we shall describe the topological K-ring of a class of torus manifolds (those for which the orbit space under the action of the compact torus is a homology poytope whose nerve is shellable) in terms of generators and relations. Since these torus...

After introducing a noncommutative counterpart of commutative algebraic geometry based on monoidal categories of quasi-coherent sheaves we show that various constructions in noncommutative geometry (e.g. Morita equivalences, Hopf-Galois extensions) can be given geometric meaning extending their geometric interpretations in the commutative case. On the other hand, we show that some constructions...

background: lipophosphoglycan 3 (lpg3) is required for the lpg assembly, a well known virulent molecule. in this study, the lpg3 gene of the lizard and mammalian leishmania species were cloned and sequenced. a three-dimensional structure (3d) for the target sequence was also predicted by comparative (homology) modeling. materials and methods: an optimization pcr amplification was performed on g...

background: luxi is a component of the quorum sensing signaling pathway in vibrio fischeri responsible for the inducer synthesis that is essential for bioluminescence. methods: homology modeling of luxi was carried out using phyre2 and refined with the galaxyweb server. five models were generated and evaluated by errat, anolea, qmean6, and procheck. results: five refined models were generated b...

medicinal use of the opium poppy (papaver somniferum l) has ancient history, but the isolation of morphine was not described until the early nineteenth century. morphine is the most important alkaloid of opium poppy in the last 50 years. in the morphine pathway has been reported to generate morphine in this species, codm has a crucial role as the gene coding the enzyme responsible for demethyla...

In this paper, we prove an $\mathbb{A}^1$-homology version of the Whitehead theorem with dimension bound. We also excision for $\mathbb{A}^1$-homology, Suslin homology, and $\mathbb{A}^1$-homotopy sheaves. order to these results, develop a general theory relative sheaves establish weak comparison result between $\mathbb{A}^1$- homology. As example as application results above, compute hyperplan...

the notions of quasi-prime submodules and developed  zariski topology was introduced by the present authors in cite{ah10}. in this paper we use these notions to define a scheme. for an $r$-module $m$, let $x:={qin qspec(m) mid (q:_r m)inspec(r)}$. it is proved that $(x, mathcal{o}_x)$ is a locally ringed space. we study the morphism of locally ringed spaces induced by $r$-homomorphism $mrightar...

Blaine Lawson and the author introduced algebraic cocycles on complex algebraic varieties in [FL-1] and established a duality theorem relating spaces of algebraic cocycles and spaces of algebraic cycles in [FL-2]. This theorem has non-trivial (and perhaps surprising) applications in several contexts. In particular, duality enables computations of “algebraic mapping spaces” consisting of algebra...