Solution Manual for the book Algebraic Structures: Guide to Exercises and Detailed Proofs (Solution Manuals of the Bachelor's Degree in Mathematics Series) - Softcover

Luque Zevallos, Helbert Justo

Softcover

ISBN 13: 9798296392954

Publisher: Independently published, 2025

Synopsis

🎓 Algebraic Structures Solution Manual
Group Theory, Rings, Modules, and Algebraic Structure in Detail

Want to master the foundations of abstract algebra with precision and depth?

This Solution Manual, prepared by Helbert Justo Luque Zevallos, rigorously complements the work “Algebraic Structures” from the Bachelor of Mathematics Series. With a pedagogical and meticulous focus, it delivers complete solutions and step-by-step proofs grounded in the modern theory of groups, rings, modules, and homomorphisms.

🔍 What you’ll find in this solution manual:
✅ Group Theory
Exercises on subgroups, homomorphisms, group actions, and the classification of finite groups.
✅ Rings and Fields
Analysis of ideals, quotient rings, integral domains, and construction of field of fractions.
✅ Modules and Vector Spaces
Examples of modules over PIDs, bases and ranks, and applications to the structure theorem for finitely generated modules.
✅ Isomorphism Theorems & Decompositions
Detailed proofs of the isomorphism theorems, decompositions into direct and semidirect products.
✅ Advanced-Level Exercises
Over 150 solved problems with variants, counterexamples, and insightful commentary on subtle points.

🧠 Includes:
✔ Rigorous proofs with solid theoretical foundations
✔ Thematic development aligned with the main text
✔ Cross-references for easy navigation
✔ Pedagogical suggestions and resolution strategies

📌 Ideal for:
• Bachelor’s students in Mathematics and Engineering
• University instructors and exam preparers
• Self-learners seeking an advanced, structured mastery of abstract algebra

📘 Series: Solution Manuals of the Bachelor of Mathematics Series
📖 Ready to deepen your understanding of algebraic structure and transform your grasp of abstract algebra? Get your copy today!

Edition details

• Publisher: Independently published
• Publication date: 2025
• Language: English
• ISBN 13: 9798296392954
• Binding: Paperback
• Number of pages: 236