We show that a spectral sequence developed by Lipshitz and Treumann, for application to Heegaard Floer theory, converges localized form of topological Hochschild homology with coefficients. This allows us the target this can be identified when is torsion-free as module over $\mathrm{THH}_*(\mathbb{F}_2)$, parallel results Mathew on degeneration Hodge-to-de Rham sequence. To carry out, we apply ...

Diagonal groups are one of the classes finite primitive permutation occurring in conclusion O’Nan–Scott theorem. Several other have been described as automorphism geometric or combinatorial structures such affine spaces Cartesian decompositions, but for diagonal not studied general. The main purpose this paper is to describe and characterise structures, which we call semilattices. Unlike th...

the matrix functions appear in several applications in engineering and sciences. the computation of these functions almost involved complicated theory. thus, improving the concept theoretically seems unavoidable to obtain some new relations and algorithms for evaluating these functions. the aim of this paper is proposing some new reciprocal for the function of block anti diagonal matrices. more...

would like to thank Mark Watson for correcting a mistake in his summary of Cantor’s argument. 1A note on citations: Mises’s article appeared in German in 1920. An English translation, “Economic Calculation in the Socialist Commonwealth,” appeared in Hayek’s (1990) collection Collectivist Economic Planning in 1935. 2The current paper assumes a basic familiarity with the socialist calculation deb...