Chapter 8

पाठ्यक्रम अभिकल्प समिति

This section provides details about the curriculum design committee responsible for the creation and oversight of the textbook. It lists the chairperson, coordinators, and members involved in the development of the course material for Algebra, specifically for the Vardhman Mahaveer Open University, Kota. The committee comprises experienced professors and lecturers from various prestigious institutions, mainly from Rajasthan University, Jaipur, and other colleges in Rajasthan and Madhya Pradesh. The section also mentions the editorial and writing team, including the chief editor, authors, and contributors, along with their academic affiliations. Additionally, it highlights the academic and administrative arrangements, ensuring the quality and relevance of the content. The section concludes with copyright information, stating that no part of the material may be reproduced without written permission from the university.

• Lists the curriculum design committee members and their affiliations.
• Highlights the editorial and writing team responsible for the textbook.
• Mentions academic and administrative arrangements for content production.
• Includes copyright and reproduction restrictions.
• 📌 Curriculum Design Committee: A group of subject experts responsible for creating and reviewing the course material.
• 📌 Editor: The person responsible for overseeing the content and ensuring its quality.
• 📌 Author: The individual(s) who write the textbook content.

इकाई सं. / इकाई / पृष्ठ संख्या (Table of Contents)

This section provides the table of contents for the Algebra textbook. It lists all the units (इकाई) included in the book, along with their titles in both Hindi and English, and the corresponding page numbers. The units cover a wide range of topics in abstract algebra, including groups, subgroups, permutation groups, cyclic groups, cosets, Lagrange's theorem, group homomorphism, normal subgroups, quotient groups, rings, integral domains, fields, ring homomorphism, ideals, quotient rings, vector spaces, subspaces, basis, dimension, and related properties. The table of contents also includes reference books at the end. This structure helps students navigate the textbook and understand the logical progression of topics from basic algebraic structures to advanced concepts.

• Lists all units and their topics in both Hindi and English.
• Provides page numbers for each unit for easy navigation.
• Covers a comprehensive range of algebraic concepts.
• Includes reference books for further reading.
• 📌 Group: A set with a binary operation satisfying closure, associativity, identity, and invertibility.
• 📌 Subgroup: A subset of a group that is itself a group under the same operation.
• 📌 Ring: An algebraic structure with two binary operations, addition and multiplication, satisfying certain axioms.