We present the basic analytical and algebraic properties of triangular norms. We discuss continuity as well as the important classes of Archimedean, strict and nilpotent t-norms. Triangular conorms and De Morgan triples are also mentioned. Finally, a brief historical survey on triangular norms is given. Submitted for publication Johannes Kepler Universität Linz Fuzzy Logic Laboratorium Linz-Hag...

Abstract Let G denote a possibly discrete topological group admitting an open subgroup I which is pro- p . If H denotes the corresponding Hecke algebra over field k of characteristic , then we study adjunction between -modules and -linear smooth -representations in terms various model structures. Gorenstein ring, single out full subcategory equivalent to category all projective via functor -inv...

Let F be a non-Archimedean locally compact field, let G be a split connected reductive group over F . For a parabolic subgroup Q ⊂ G and a ring L we consider the G-representation on the L-module (∗) C∞(G/Q, L)/ ∑

We prove an analog of the Yomdin–Gromov lemma for p-adic definable sets and more broadly in a non-Archimedean definable context. This analog keeps track of piecewise approximation by Taylor polynomials, a nontrivial aspect in the totally disconnected case. We apply this result to bound the number of rational points of bounded height on the transcendental part of p-adic subanalytic sets, and to ...

We prove new patchworking theorems for singular algebraic curves, which state the following. Given a complex toric threefold Y which is fibred over C with a reduced reducible zero fiber Y0 and other fibers Yt smooth, and given a curve C0 ⊂ Y0, the theorems provide sufficient conditions for the existence of one-parametric family of curves Ct ⊂ Yt, which induces an equisingular deformation for so...

Let F be a number field, and π an isobaric ([La]), algebraic ([Cl1]) automorphic representation of GLn(AF ). We will call π quasi-regular iff at every archimedean place v of F , the associated n-dimensional representation σv of the Weil group WFv (defined by the archimedean local correspondence) is multiplicity free. For example, when n = 2 and F = Q, a cuspidal π is quasi-regular exactly when ...

Abstract In this paper we develop a number of results and notions concerning Positivstellensätze for semirings (preprimes) commutative unital real algebras. First reduce the Archimedean Positivstellensatz to corresponding result quadratic modules. Various applications are investigated. A general with denominators is proved filtered algebras semirings. As an application derive denominator-free c...

In this paper, we deal with the invertible elements in a complete intuitionistic fuzzy pseudo normed algebra (in short, IFPNA) respect to Archimedean t-norm and t-conorm. It is done by studying continuity of algebraic operations IFPNA investigating condition for existence inverse an element IFPNA. Also some properties are studied. observed that set open set.

Tropical and non-Archimedean curves