4 citations · 7 across the 5 of their papers we have counts for
6 papers
A tropical Krull-Schmidt theorem
Tal Perri, Louis Rowen
We develop some algebraic structure notions such as composition series and convexity degree, along with some notions holding a geometric interpretation, like reducibility and hyper…
Kernels in tropical geometry and a Jordan-Hölder Theorem
Tal Perri, Louis Rowen
A correspondence exists between affine tropical varieties and algebraic objects, following the classical Zariski correspondence between irreducible affine varieties and the prime s…
Uniform extensions of layered semifields
Tal Perri
In this paper we introduce a canonical method of constructing simple uniform semifield extensions of uniform layered semifields introduced by Izhakian Knebusch and Rowen in the pap…
Algebraic Aspects in Tropical Mathematics
Tal Perri
Much like in the theory of algebraic geometry, we develop a correspondence between certain types of algebraic and geometric objects. The basic algebraic environment we work in is t…
A model theoretic construction for layered semifields
Tal Perri
In this paper we introduce a model theoretic construction for the theories of uniform layered domains and semifields introduced in the paper of Izhakian, Knebusch and Rowen. We pro…
An explicit Construction of the Jacobian of a nonsingular curve and its group law
Tal Perri
This paper is devoted to constructing an explicit efficient representation for the Jacobian variety of a nonsingular curve of genus greater than 1, and its group law. We describe a…