Inclines are additively idempotent semi rings in which products are less than or equal to either factor.The Characterization of EP elements, Product of EP elements in an incline with involution are obtained as a generalization and development of EP elements in a *regular ring and of EP elements in a reflexive semi group. Mathematics Subject Classification: 16Y60, 15A09

Abstract We consider a 10-dimensional family of Lehn–Lehn–Sorger–van Straten hyperkähler eightfolds, which have non-symplectic automorphism order 3. Using the theory finite-dimensional motives, we show that action this on Chow group 0-cycles is as predicted by Bloch–Beilinson conjectures. prove similar statement for anti-symplectic involution varieties in family. This has interesting consequenc...

INTRODUCTION Numerous studies on the early contact between mother and the baby and the time they spend together-common stay stress the fact that these are invaluable for the mothers, infants, family and society in general. The objective of the research. The objective of the research was to establish whether mother benefits from the early contact with her baby and the importance of the time peri...

Dans cette note, on présente l’énoncé et les principales idées de la démonstration d’un théorème de convexité réel pour les applications moment à valeurs dans un groupe de Lie. Ce résultat est un analogue quasi-hamiltonien du théorème de O’Shea et Sjamaar dans le cadre hamiltonien usuel. On démontre que l’image par l’application moment du lieu des points fixes d’une involution renversant la 2-f...

A non-square-tiled Veech surface has finitely many periodic points, i.e. points with finite orbit under the affine automorphism group. We present an algorithm that inputs a and outputs its set of points. Our serves as new proof finiteness for surfaces. apply our to Prym eigenforms in minimal stratum genus 3, proving low discriminant these surfaces do not have except fixed involution.

In a ring with an involution, we first present some necessary and sufficient conditions for the existence of $m$-weak group inverse expression. As application, prove that regular element $a$ is $(m+1)$-weak invertible if only $a^2a^{-}$ invertible, where $a^{-}$ inner $a$. The relevant results weak core inverses pseudocore are given. addition, new characterizations inverses, also investigate ma...