The article deals with the characteristics of noun phrases functioning in pre-position. Pre-noun modifiers, or attributive modifiers, are among the high-capacity structures in the contemporary English language, as they enable to devoid of prepositions and to describe objects in a laconic way. The goal of this research was to analyze the way scholars interpret this linguistic structure today, as...

Given a complex projective variety V (as defined in [1]), we wish to count the curves in V that satisfy certain prescribed conditions. Let f C denote complex projective -dimensional space. In our first example, V = f C2, the complex projective plane; in the second and third, V is a general hypersurface in f C of degree 2 − 3. Call such V a cubic twofold when  = 3 and a quintic threefold wh...

If ∗ : G → G is an involution on the finite group G, then ∗ extends to an involution on the integral group ring Z[G]. In this paper, we consider whether bicyclic units u ∈ Z[G] exist with the property that the group 〈u, u∗〉, generated by u and u∗, is free on the two generators. If this occurs, we say that (u, u∗) is a free bicyclic pair. It turns out that the existence of u depends strongly upo...

Let $mathcal {N}_G$ denote the set of all proper‎ ‎normal subgroups of a group $G$ and $A$ be an element of $mathcal‎ ‎{N}_G$‎. ‎We use the notation $ncc(A)$ to denote the number of‎ ‎distinct $G$-conjugacy classes contained in $A$ and also $mathcal‎ ‎{K}_G$ for the set ${ncc(A) | Ain mathcal {N}_G}$‎. ‎Let $X$ be‎ ‎a non-empty set of positive integers‎. ‎A group $G$ is said to be‎ ‎$X$-d...

A large body of work in both the theoretical and experimental literature suggests that upper bound implications in simple sentences with bare numerals are entailments arising from the semantics of the numeral, rather than scalar implicatures of the sort seen with other scalar terms. However, not all semantic analyses of numerals designed to introduce upper bounding entailments in simple sentenc...