Related papers: A Generalization of the Idea of Disjunction

We propose a general definition of unprojection, and prove that it indeed generalizes previous efforts.

In this paper, we propose a generalization of a congruence due to Carlitz.

A broader definition of generalized truncations of graphs is introduced followed by an exploration of some standard concepts and parameters with regard to generalized truncations.

In this article we present a generalization of a Leibniz's geometrical theorem and an application of it.

We establish adjunction and inversion of adjunction for log canonical centers of arbitrary codimension in full generality.

The method of exhaustion is generalized to a simple formula that can be used to integrate functions under very general conditions, provided that the integral exists. Both a geometric proof (following the usual procedure for the method of…

A conjecture for higher order separation on generic rational surfaces with some new results about standard divisors.

In this paper, we give some generalizations the concept of element order and we study some of the properties of these generalized order. In particular, with using this generalization we derive two solvability criteria.

A new definition for the notion of a (general) $\infty$-category is given.

This note investigates the relation between squeezing function and its generalizations. Using the relation obtained, we present an alternate method to find expression of generalized squeezing function of unit ball corresponding to the…

We provide a collection of examples involving the concept of a product disintegration, which generalizes exchangeability.

We give a generalized version of the Freyd conjecture and a way to think about a possible proof. The essential point is to describe an elementary formal reduction of the question that holds in any triangulated category. There are no new…

We obtain similar types of conclusions as that of Br\"{u}ck [1] for two differential polynomials which in turn radically improve and generalize several existing results. Moreover, a number of examples have been exhibited to justify the…

We generalize Romanoff's theorem. Also, we obtain a result on sums related to Euler's totient function.

In this paper, we first propose a natural generalization of the well-known compare-and-swap object, one that replaces the equality comparison with an arbitrary comparator. We then present a simple wait-free universal construction using this…

The aim of this paper is to describe the definitions and main properties of three generalizations of the group concept, namely: groupoid, generalized group and almost groupoid. Some constructions of these algebraic structures and…

The notion of random self-decomposability is generalized further. The notion is then extended to non-negative integer-valued distributions.

We prove a generalization of Lopes's theorem, that is, of the converse of Brolin's theorem.

We generalize Pappus chain theorem and give an analogue to this theorem.

In this article we discuss a generalized Wirtinger inequality.