Hochschild lattices are specific intervals in the dexter meet-semilattices recently introduced by Chapoton. A natural geometric realization of these leads to some cell complexes Saneblidze, called polytopes. We obtain several geometrical properties lattices, namely we give cubic realizations, establish that EL-shellable, and show they constructible interval doubling. also prove combinatorial as...

the most current pursuit algorithms for moving targets which are presented so far in the literatureare pure pursuit and pure rendezvous navigations. recently, one of the present authors has introduced ageometric model for the pure pursuit navigation algorithm. here, in this paper, we study a new algorithm forthe pursuit navigation problem which is a combination of both of the above algorithms. ...

in this paper‎, ‎we introduce the notion of $(m,n)$-‎algebr‎aically compact modules as an analogue of algebraically‎ ‎compact modules and then we show that $(m,n)$-algebraically‎ ‎compactness‎ ‎and $(m,n)$-pure injectivity for modules coincide‎. ‎moreover‎, ‎further characterizations of a‎ ‎$(m,n)$-pure injective module over a commutative ring are given‎.

      The complex formed as a consequence of the interaction between the electron-acceptor P-chloranilic acid and an electron donor tamoxifen citrate was employed in the assay of the drug in pure powder and tablets. Chloranilic acid was found to form a charge-transfer complex in a 1:1 stoichiometric ratio, with tamoxifen citrate. The wavelength of maximum absorption for the complex was found to...

A matroid complex is a pure complex such that every restriction is again pure. It is a long-standing open problem to classify all possible hvectors of such complexes. In the case when the complex has dimension 1 we completely resolve this question. We also prove the 1-dimensional case of a conjecture of Stanley that all matroid h-vectors are pure O-sequences. Finally, we completely characterize...

All lattices are assumed to be finite. Björner [2] has shown that a dismantlable (see Rival, [5]) lattice L is Cohen-Macaulay (see [6] for definition) if and only if L is ranked and interval-connected. A lattice is planar if its Hasse diagram can be drawn in the plane with no edges crossing. Baker, Fishburn and Roberts have shown that planar lattices are dismantlable, see [1]. Lexicographically...