Let X ⊂ V be a closed embedding, with V r X nonsingular. We define a constructible function ψX,V on X, agreeing with Verdier’s specialization of the constant function 1V when X is the zero-locus of a function on V . Our definition is given in terms of an embedded resolution of X; the independence on the choice of resolution is obtained as a consequence of the weak factorization theorem of [AKMW...

Let (B, λt, ψ) be a C-dynamical system where (λt : t ∈ IT+) be a semigroup of injective endomorphism and ψ be an (λt) invariant state on the C ∗ subalgebra B and IT+ is either non-negative integers or real numbers. The central aim of this exposition is to find a useful criteria for the inductive limit state B →t B canonically associated with ψ to be pure. We achieve this by exploring the minima...

Crossmatching is essential prior to kidney transplantation to confirm compatibility between the donor and the recipient, particularly to prevent acute antibody-mediated rejection. An unexpected positive crossmatch may be obtained in recipients with an autoimmune disease or preexisting antibodies not detected by single-antigen bead array due to complement interference or who have been previously...

A part of the immune system that improves (complements) the ability of antibodies and phagocytic cells to clear microorganisms and injured cells from an organism, attacks the pathogen's cell membrane, and encourages inflammation called complement system. It is main part of immune system. Over thirty proteins and protein pieces compose the complement system, including cell membrane receptors, an...

Abstract Motivated by reconstruction results Rubin, we introduce a new notion for permutation groups, transformation monoids and clones, called automatic action compatibility, which entails homeomorphicity. We further give characterization of homeomorphicity on arbitrary carriers with dense group invertibles having then show how to lift compatibility from groups clones under fairly weak assumpt...

The subject of the article is correspondence and competition legal monism pluralism. purpose study to confirm or refute author's hypothesis that a peculiar dialectic pluralism inherent in domestic law. methodology . methods various sciences related social are combined. In particular, system approach, dialectical method, formal logic, formal-legal comparative-legal methods, theoretical-sociologi...

We exhibit an adjunction between a category of abstract algebras partial functions and set quotients. The are those atomic representable as collection closed under relative complement domain restriction; the morphisms complete homomorphisms. This generalises discrete Boolean sets. define compatible completion algebra, show that monad induced by our yields any algebra. As corollary, restricts to...

The Zykov ring of signed finite simple graphs with topological join as addition and compatible multiplication is an integral domain but not a unique factorization domain. We know that because by the graph complement operation it is isomorphic to the strong Sabidussi ring with disjoint union as addition. We prove that the Euler characteristic is a ring homomorphism from the strong ring to the in...

Intraspecifi c competition is the basis for biological control of afl atoxins, but there is little understanding of the mechanism(s) by which competing strains inhibit toxin production. Evidence is presented that demonstrates a relationship between strength of the vegetative compatibility reaction and afl atoxin production in Aspergillus fl avus and A. parasiticus using the suspended disk cultu...