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Solution Manual for the book Algebraic Structures: Guide to Exercises and Detailed Proofs - Couverture souple

Livre 12 sur 12: Solution Manuals of the Bachelor's Degree in Mathematics Series

Luque Zevallos, Helbert Justo

 
9798296392954: Solution Manual for the book Algebraic Structures: Guide to Exercises and Detailed Proofs
Couverture souple
ISBN 13 : 9798296392954
Editeur : 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!

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
Independently published
Date d'édition
2025
Langue
anglais
ISBN 13 
9798296392954
Reliure
Broché
Nombre de pages
236
Coordonnées du fabricant
Printed by Amazon on behalf of the author
https://www.amazon.fr/hz/contact-us

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