# From Groups to Categorial Algebra: Introduction to Protomodular and Mal'tsev Categories (Compact Textbooks in Mathematics)

English | 26 Jun. 2017 | ISBN: 3319572180 | 120 Pages | EPUB | 1.66 MB

This book gives a thorough and entirely self-contained, in-depth introduction to a specific approach to group theory, in a large sense of that word. The focus lie on the relationships which a group may have with other groups, via "universal properties", a view on that group "from the outside". This method of categorical algebra, is actually not limited to the study of groups alone, but applies equally well to other similar categories of algebraic objects.

By introducing protomodular categories and Mal'tsev categories, which form a larger class, the structural properties of the category Gp of groups, show how they emerge from four very basic observations about the algebraic litteral calculus and how, studied for themselves at the conceptual categorical level, they lead to the main striking features of the category Gp of groups.

Hardly any previous knowledge of category theory is assumed, and just a little experience with standard algebraic structures such as groups and monoids. Examples and exercises help understanding the basic definitions and results throughout the text.**Download:**

http://longfiles.com/ykqb0t4yqaq0/From_Groups_to_Categorial_Algebra_Introduction_to_Protomodular_and_Mal'tsev_Categories_(Compact_Textbooks_in_Mathematics).epub.html

**Ebooks related to "From Groups to Categorial Algebra: Introduction to Protomodular and Mal'tsev Categories (Compact Textbooks in Mathematics)" :**

Applications of Computer Algebra

Functional Analysis and the Feynman Operator Calculus

Representation Theory, Number Theory, and Invariant Theory

Industrial Mathematics and Complex Systems: Emerging Mathematical Models, Methods and Algorithms

Data Management and Analysis Using JMP: Health Care Case Studies

Logical Options: An Introduction to Classical and Alternative Logics

Table of Integrals, Series, and Products

Introduction to Probability Models, 11th edition

Statistical Analysis of Contingency Tables

The Skeleton Key of Mathematics

**Copyright Disclaimer:**

This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.

**Categories**

Astronomy and Cosmology | Physics |

Philosophy | Medicine |

Mathematics |
DSP |

Cryptography | Chemistry |

Biology and Genetics | Psychology and Behavior |

**Popular ebooks**

Calculus For Dummies(3239)

Idiot's Guides: Calculus I(2957)

Engineering Mathematics, 8th Edition(2882)

That's Maths: The Mathematical Magic in Ev(2626)

Elementary Statistics, 13th Edition(2623)

Thomas' Calculus, 14th Edition(2534)

Murderous Maths: The Magic of Maths(2388)

Machine Learning Made Easy with R: An Intu(2214)

Elementary Geometry for College Students(2183)

An Introduction to Mathematics(2163)

Math for Scientists: Refreshing the Essent(2098)

Idiot's Guides: Calculus II(2096)

Machine Learning: Algorithms and Applicati(1993)

Chances Are: The Only Statistic Book You'l(1976)

Calculus: Early Transcendentals, 11th edit(1904)