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Basic Concepts
| Content Provider | Scilit |
|---|---|
| Author | Denecke, Klaus Wismath, Shelly L. |
| Copyright Year | 2018 |
| Description | In this first chapter we shall introduce the two basic concepts of Universal Algebra, operations and algebras, and provide a number of examples of algebras. One of these examples, lattices, is useful in a theoretical way as well: any algebra of any type is accompanied by some lattices, making the theory of lattices important in the study of all algebras. In Section 3 we examine the concept of a subalgebra, and the generation of subalgebras. In Section 4 we look at congruence relations and quotient algebras. Congruence relations on algebras generalize the well-known notion of the congruence modulo n defined on the ring of all integers, and quotient algebras generalize the construction of quotient or residue rings modulo n. Book Name: Universal Algebra and Applications in Theoretical Computer Science |
| Related Links | https://content.taylorfrancis.com/books/download?dac=C2006-0-13519-4&isbn=9781315273686&doi=10.1201/9781315273686-2&format=pdf |
| Ending Page | 36 |
| Page Count | 24 |
| Starting Page | 13 |
| DOI | 10.1201/9781315273686-2 |
| Language | English |
| Publisher | Informa UK Limited |
| Publisher Date | 2018-10-03 |
| Access Restriction | Open |
| Subject Keyword | Book Name: Universal Algebra and Applications in Theoretical Computer Science Lattices Theoretical Congruence Integers Algebras Modulo Subalgebra Notion |
| Content Type | Text |
| Resource Type | Chapter |
