Let us denote by Cκ the standard Cohen algebra of π-weight κ, i.e. the complete Boolean algebra adjoining κ Cohen reals, where κ is an infinite cardinal or 0. More generally, we call a Boolean algebra A a Cohen algebra if (for technical convenience in Theorems 0.3 and 0.4 below) it satisfies the countable chain condition and forcing with A (more precisely with the partial ordering A \ {0}) is e...

‎in this paper‎, ‎we give some necessary conditions for an $r$-partite graph such that the edge ring of the graph is cohen-macaulay‎. ‎it is proved that if there exists a cover of an $r$-partite cohen-macaulay graph by disjoint cliques of size $r$‎, ‎then such a cover is unique‎.

We show that in contrast with the Cohen version of Solovay’s model, it is consistent for the continuum to be Cohen-measurable and for every function to be continuous on a non-meagre set.

For a partition λ of n ∈ N , let I Sp be the ideal R = K [ x 1 … ] generated by all Specht polynomials shape . In previous paper, second author showed that if / is Cohen-Macaulay, then either ( − d ) or and converse true char 0 this we compute Hilbert series for Hence, get Castelnuovo-Mumford regularity when it Cohen-Macaulay. particular, has + 2 -linear resolution in Cohen–Macaulay case.

Prior to commercial distribution of any new animal drug for use in food-producing animals, a sponsor must prove its product is safe and effective when used as described in the proposed labeling of the drug. Effectiveness simply means that the product does what the labeling claims. Safety routinely covers the safety of the food products to humans, and safety to the target animals. In addition to...

A report of a child with Cohen syndrome is presented. Of particular interest to dentists are the relatively consistent findings of open mouth, short philtrum, micrognathia, and the prominent maxillary central incisors. A combination of these findings in addition to other traits such as hypotonicity, variable degrees of mental retardation, narrow hands and feet, childhood obesity, and delayed pu...

‎In this paper‎, ‎we give some necessary conditions for an $r$-partite graph such that the edge ring of the graph is Cohen-Macaulay‎. ‎It is proved that if there exists a cover of an $r$-partite Cohen-Macaulay graph by disjoint cliques of size $r$‎, ‎then such a cover is unique‎.

Stanley Cohen [5] was born on 17 November 1922 in Brooklyn, New York. His father was a tailor and his mother a housewife who immigrated to the United States from Russia in the early 1900s. Cohen spent his early education in the New York City public school system, and attended the city college, Brooklyn College [9], for his undergraduate studies. Brooklyn College [9] had no tuition, which allowe...