# Seminars & Colloquia Calendar

Algebra Seminar

## The algebraic theory of systems

#### Louis Rowen, Bar-Ilan Univ

Location:  SERC 206
Date & time: Wednesday, 27 March 2019 at 2:00PM - 3:00PM

Abstract:  The notion of system'' is introduced to unify classical algebra with tropical mathematics, hyperfields, and other related areas for which we can embed a partial algebraic structure into a fuller structure from which we can extract more information. The main ideas are a generalized negation map since our structures lack classical negatives, and a surpassing relation'' to replace equality.

We discuss this theory with emphasis on the main applications, which will be described from the beginning:
1. Classical algebra
2. Supertropical mathematics (used for valuations and tropicalization)
3. Symmetrized systems (used for embedding additively idempotent semi structures into systems)
4. Hyperfields

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