BMTC-134 IGNOU Solved Assignment 2026-27

BMTC-134 Solved Assignment (TMA) Algebra: Comprehensive Syllabus Coverage

The BMTC-134 Algebra TMA solutions are designed to align with IGNOU’s official curriculum, focusing on mandatory blocks from the Bachelor of Science (BSCG) syllabus. Below are key units with verified, plagiarism-free answers adhering to word limits and submission deadlines.

Core Syllabus Units Covered

• Block-1: Introduction to Groups
  • Definition and examples of groups (cyclic, dihedral, symmetric groups) with proofs of closure, associativity, and inverses.
  • Subgroups: Subgroup criteria (Huygens’ theorem), cyclic subgroups, and order properties.
• Block-2: Normal Subgroups and Group Homomorphisms
  • Normal subgroups: Cosets, quotient groups, and the First Isomorphism Theorem with step-by-step proofs.
  • Homomorphisms: Kernel, image, and isomorphism tests using U(n) and GL(n,ℝ) examples.
• Block-3: Introduction to Rings
  • Rings and subrings: Definition, examples (ℤ, ℤ_n), and ring homomorphisms.
  • Ideals: Left/right/bi-ideals, quotient rings, and the Chinese Remainder Theorem.
• Block-4: Integral Domains
  • Integral domains: Characteristic, field extensions, and polynomial rings over ℤ_p.
  • Prime and maximal ideals: Proofs of properties in ℤ and ℤ_n.

Assignment Structure and Word Limits

The TMA includes:

• 30% weightage questions with 500-word answers