ASAP Graduate Algebra Expert -- 2

I need clear, well-structured solutions to a set of graduate-level algebra problems right away. The work involves advanced group theory and ring theory concepts similar to those covered in a first-year master’s course. I will share a PDF of roughly 10 questions; several require formal proofs, while a few ask for short computational arguments.

Speed matters: once I send the file, I’d like the complete, typeset answers returned within 24 hours. LaTeX formatting is preferred so I can drop the work straight into my notes, but neatly scanned handwriting is acceptable if every step is perfectly legible.

Deliverables
• Full, logically ordered proofs or calculations for each question
• Brief explanatory notes highlighting key theorems or lemmas used
• A compiled PDF (and .tex source if LaTeX is used)

Acceptance criteria
• Every claim justified—no skipped steps or unexplained “obvious” leaps
• Definitions and notation consistent throughout
• Final answers match a quick numerical check I will run where applicable
• File delivered on or before the agreed deadline

If you are confident with graduate algebra and can turn this around immediately, I’m ready to share the problem set and get started.