In mathematics, specifically in category theory, a preadditive category is another name for an Ab-category, i.e., a category that is enriched over the category of abelian groups, Ab.That is, an Ab-category C is a category such thatevery hom-set Hom(A,B) in C has the structure of an abelian group, and composition of morphisms is bilinear, in the sense that composition of morphisms distributes over the group operation.In formulas: andwhere + is the group operation. Some authors have used the term additive category for preadditive categories, but here we follow the current trend of reserving this term for certain special preadditive categories (see below). (Wikipedia).
ATTRIBUTIVE and PREDICATE ADJECTIVES - ENGLISH GRAMMAR
We talk about adjectives: attributive and predicative. Attributive adjectives appear before the nouns they modify. Predicative adjectives appear after a BE or LINKING verb. If you want to support the channel, hit the "JOIN" button above and pick a channel subscription that suits your need
From playlist English Grammar
Prealgebra Lecture 5.7 Part 3: Finding the Mean, Median, and Mode
From playlist Prealgebra Playlist 1
Prealgebra Lecture 1.2 Part 1: Place Value and Expanded Form
From playlist Prealgebra Playlist 1
Prealgebra 2.07b - Evaluating Expressions
Evaluating expressions for given values of the variables. From the Prealgebra course by Derek Owens. This course is available online at http://www.LucidEducation.com.
From playlist Prealgebra Chapter 2 (Complete chapter)
Prealgebra Lecture 3.1 Part 1: Simplifying Algebraic Expressions
From playlist Prealgebra Playlist 1
Prealgebra Lecture 3.4 Part 3: Translating Sentences Into Equations
From playlist Prealgebra Playlist 1
Prealgebra Lecture 3.1 Part 3: Simplifying Algebraic Expressions
From playlist Prealgebra Playlist 1
Prealgebra Lecture 3.4 Part 2: Translating Sentences Into Equations
From playlist Prealgebra Playlist 1
Prealgebra Lecture 3.1 Part 2: Simplifying Algebraic Expressions
From playlist Prealgebra Playlist 1
On the classification of fusion categories – Sonia Natale – ICM2018
Algebra Invited Lecture 2.5 On the classification of fusion categories Sonia Natale Abstract: We report, from an algebraic point of view, on some methods and results on the classification problem of fusion categories over an algebraically closed field of characteristic zero. © Interna
From playlist Algebra
Charles Rezk - 1/4 Higher Topos Theory
Course at the school and conference “Toposes online” (24-30 June 2021): https://aroundtoposes.com/toposesonline/ Slides: https://aroundtoposes.com/wp-content/uploads/2021/07/RezkNotesToposesOnlinePart1.pdf In this series of lectures I will give an introduction to the concept of "infinity
From playlist Toposes online
The synthetic theory of ∞-categories vs the synthetic theory of ∞-categories - Emily Riehl
Vladimir Voevodsky Memorial Conference Topic: The synthetic theory of ∞-categories vs the synthetic theory of ∞-categories Speaker: Emily Riehl Affiliation: Johns Hopkins University Date: September 12, 2018 For more video please visit http://video.ias.edu
From playlist Mathematics
Stable Homotopy Seminar, 14: The stable infinity-category of spectra
I give a brief introduction to infinity-categories, including their models as simplicially enriched categories and as quasi-categories, and some categorical constructions that also make sense for infinity-categories. I then describe what it means for an infinity-category to be stable and h
From playlist Stable Homotopy Seminar
Category Theory 3.1: Examples of categories, orders, monoids
Examples of categories, orders, monoids.
From playlist Category Theory
Homotopy Category As a Localization by Rekha Santhanam
PROGRAM DUALITIES IN TOPOLOGY AND ALGEBRA (ONLINE) ORGANIZERS: Samik Basu (ISI Kolkata, India), Anita Naolekar (ISI Bangalore, India) and Rekha Santhanam (IIT Mumbai, India) DATE & TIME: 01 February 2021 to 13 February 2021 VENUE: Online Duality phenomena are ubiquitous in mathematics
From playlist Dualities in Topology and Algebra (Online)
Yann Palu, Research talk - 2 February 2015
Yann Palu (Université de Picardie) - Research talk http://www.crm.sns.it/course/4456/ Motivated by the theory of cluster algebras, Buan-MarshReiten proved that some quotients of cluster categories are module categories. More generally, some subquotients (associated with rigid objects) of
From playlist Lie Theory and Representation Theory - 2015
Yonatan Harpaz - New perspectives in hermitian K-theory I
For questions and discussions of the lecture please go to our discussion forum: https://www.uni-muenster.de/TopologyQA/index.php?qa=k%26l-conference This lecture is part of the event "New perspectives on K- and L-theory", 21-25 September 2020, hosted by Mathematics Münster: https://go.wwu
From playlist New perspectives on K- and L-theory
Kevin Coulembier: Frobenius exact tensor categories
Abstract: Partly motivated by Grothendieck’s original vision for motives, the question arises of when a tensor category (k-linear symmetric monoidal rigid abelian category) is tannakian, i.e. is the representation category of an affine group scheme, or more generally of a groupoid in schem
From playlist Representation theory's hidden motives (SMRI & Uni of Münster)
Prealgebra Lecture 2.2 Part 1: Adding Integers
From playlist Prealgebra Playlist 1