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From groups to categorial algebra [electronic resource] : introduction to protomodular and Mal'tsev categories
| 000 | 00000cam u2200205 a 4500 | |
| 001 | 000046011744 | |
| 005 | 20200121153831 | |
| 006 | m d | |
| 007 | cr | |
| 008 | 200107s2017 sz ob 001 0 eng d | |
| 020 | ▼a 9783319572185 | |
| 020 | ▼a 9783319572192 (e-book) | |
| 040 | ▼a 211009 ▼c 211009 ▼d 211009 | |
| 050 | 4 | ▼a QA150-272 |
| 082 | 0 4 | ▼a 512.2 ▼2 23 |
| 084 | ▼a 512.2 ▼2 DDCK | |
| 090 | ▼a 512.2 | |
| 100 | 1 | ▼a Bourn, Dominique. |
| 245 | 1 0 | ▼a From groups to categorial algebra ▼h [electronic resource] : ▼b introduction to protomodular and Mal'tsev categories / ▼c Dominique Bourn. |
| 260 | ▼a Cham : ▼b Springer, ▼c c2017. | |
| 300 | ▼a 1 online resource (xii, 106 p.). | |
| 490 | 1 | ▼a Compact Textbooks in Mathematics, ▼x 2296-4568 |
| 500 | ▼a Title from e-Book title page. | |
| 504 | ▼a Includes bibliographical references and index. | |
| 505 | 0 | ▼a Basic concepts in category theory -- Internal structures -- Four basic facts in Algebra -- Unital and protomodular categories -- Regular and homological categories -- Linear and additive categories -- Mal’tsev, naturally Mal’tsev categories. |
| 520 | ▼a 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. . | |
| 530 | ▼a Issued also as a book. | |
| 538 | ▼a Mode of access: World Wide Web. | |
| 650 | 0 | ▼a Algebra. |
| 830 | 0 | ▼a Compact Textbooks in Mathematics. |
| 856 | 4 0 | ▼u https://oca.korea.ac.kr/link.n2s?url=https://doi.org/10.1007/978-3-319-57219-2 |
| 945 | ▼a KLPA | |
| 991 | ▼a E-Book(소장) |
소장정보
| No. | 소장처 | 청구기호 | 등록번호 | 도서상태 | 반납예정일 | 예약 | 서비스 |
|---|---|---|---|---|---|---|---|
| No. 1 | 소장처 중앙도서관/e-Book 컬렉션/ | 청구기호 CR 512.2 | 등록번호 E14018685 | 도서상태 대출불가(열람가능) | 반납예정일 | 예약 | 서비스 |