The purpose of this paper is to apply the theory of MV polytopes to the study of components of Lusztig’s nilpotent varieties. Along the way, we introduce reflection functors for modules over the non-deformed preprojective algebra of a quiver.

In this paper, we investigate related properties of some particular derivations and give some characterizations of additive derivations in MV-algebras. Then, we obtain that the fixed point set of additive derivations is still an MV-algebra. Also, we study Boolean additive derivations and their adjoint derivations. In particular, we get that the fixed point set of Boolean addition derivations an...

Several types of skeletons in a hyper MV-algebra are introduced, and their relations are investigated.

We present a preliminary study of applying the concepts of algebraic geometry over fields to the theory of MV-algebras. We proceed along lines similar to B. Plotkin and others where an algebraic geometry over groups is developed.

Micali and Valiant proposed a mechanism for combinatorial auctions that is dominant-strategy truthful, guarantees reasonably high revenue, and is very resilient against collusions. Their mechanism, however, uses as a subroutine the VCG mechanism, that is not polynomial time. We propose a modification of their mechanism that is efficient, while retaining their collusion resilience and a good fra...

In this paper rst we dene the notions of positive implicativehyper MV -ideals of types 1,2,3 and 4 in hyper MV -algebras and we investigatethe relationship between of them . Then by some examples we show that thesenotions are not equivalent. Finally we give some relations between these notionsand the notions of (weak) hyper MV -ideals and (weak) hyper MV -deductivesystems of hyper MV -algebras.