Undergraduate] Ring Theory: which books have detailed worked-out examples?

I’m taking an undergraduate Ring Theory course and we’re currently using Gallian's Contemporary Abstract Algebra. I really like Gallian, but I’d like to supplement it with another book that has more detailed proofs, worked-out examples, and explanations of how to approach problems.

Our syllabus is roughly:

Unit I – Rings and Ideals

Definition and examples of rings

Properties of rings and subrings

Integral domains and fields

Characteristic of a ring

Ideals and operations on ideals

Ideals generated by a set

Factor rings

Prime and maximal ideals

Principal ideal domains

Unit II – Ring Homomorphisms and Polynomial Rings

Ring homomorphisms

First, second and third isomorphism theorems

Field of quotients

Polynomial rings over commutative rings

Division algorithm and its consequences

Unit III – UFDs and Divisibility in Integral Domains

Factorization of polynomials

Reducibility tests

Mod p irreducibility test

Eisenstein's criterion

Unique factorization in ℤ[x]

Divisibility in integral domains

Irreducibles and primes

Unique factorization domains

Euclidean domains

I’m particularly looking for a book that doesn’t skip too many steps in proofs and has plenty of worked examples before giving exercises.

For someone at the undergraduate level, which would you recommend as the best supplement to Gallian?

Thanks!

reddit.com

is there a caste/tribal angle to the freight equalisation policy?

i've been reading about india's freight equalisation policy (1952–1993) and i'm wondering whether there is a deeper social dimension to it that isn't discussed much.

the conventional argument is that fep was intended to promote balanced industrial development by equalising the cost of transporting minerals. but one of its consequences was that mineral-rich regions such as undivided bihar (including present-day jharkhand), odisha and parts of central india lost some of their natural locational advantage.

what i'm wondering is:

does this have a tribal/adivasi dimension that we don't talk about enough?

a large part of india's mineral wealth is located in regions with substantial adivasi populations. these communities have historically had relatively less political and economic power, while the minerals beneath their land became important inputs into india's broader industrialisation.

i'm not arguing that fep was designed to discriminate against tribal people, or that it alone explains the underdevelopment of jharkhand/odisha/chhattisgarh. i'm asking whether the policy should be studied as part of a longer political economy of resource extraction, tribal marginalisation and uneven development.

would love to hear from people who have studied indian economic history, development economics, tribal policy, or political economy.

reddit.com
u/EstablishmentUsed815 — 5 days ago
▲ 1 r/ranchi

Delhivery order delay

Hi! My parcel reached the nearest Delhivery hub today at around 7:00 am, but it still hasn't gone out for delivery.

I'm flying to another city tomorrow and won't be back for almost a year. I'll be leaving for the airport around 11:30 am–12:00 pm tomorrow.

It's a prepaid order, and the parcel is currently at the Delhivery Ratu Road hub (Jharkhand – Ranchi RatuChatti 1).

Is it possible for me to collect the parcel from the hub around 7:00 pm today, or early tomorrow morning instead?

reddit.com
u/EstablishmentUsed815 — 27 days ago

Any young moms here who did a full-time MBA with a toddler?

This might be a long shot, but I'm hoping to hear from moms who went through a full-time MBA while raising a toddler.

What was it actually like? How did you manage classes, placements, networking, and childcare? Did you have a lot of family support, or did you figure it out on your own?

Looking back, would you still choose to do an MBA at that stage, or would you wait until your child was older?

Would love to hear your experiences.

reddit.com
u/EstablishmentUsed815 — 1 month ago

Looking for case prep partners (beginner)

Hi everyone,

I'm just starting my case interview preparation and looking for a practice partner. I'm an absolute beginner, so no prior experience is needed.

If you're also preparing for consulting interviews and would like to practice together regularly, feel free to comment or DM me.

Thanks!

reddit.com
u/EstablishmentUsed815 — 1 month ago

Looking for case prep partners (beginner)

Hi everyone,

I'm just starting my case interview preparation and looking for a practice partner. I'm an absolute beginner, so no prior experience is needed.

If you're also preparing for consulting interviews and would like to practice together regularly, feel free to comment or DM me.

Thanks!

reddit.com
u/EstablishmentUsed815 — 2 months ago

Landed my first major social sector internship - looking for advice on transitioning to corporate internships

​

Hi everyone,

I'm a current undergraduate from Delhi University and recently secured a research internship in the social impact sector. While I'm excited about the opportunity, my long-term goal is to gain experience across both the social and corporate sectors.

Over the next 6-10 months, I'd like to explore internships and roles in:

Management Consulting

Impact Consulting

CSR/Sustainability teams in FMCG companies

Big 4 Consulting

Founder’s office intern

For those who have made a similar transition:

How valuable is social sector experience when applying for consulting and corporate internships?

Does cold emailing actually work for consulting, CSR, strategy, or founder’s office internships?

What skills should I focus on building during this internship to strengthen my profile for corporate roles?

How should I position social impact research experience on my CV when applying to consulting firms?

Are there specific firms, programs, or recruiting channels I should target?

Would love to hear from anyone who has taken a similar route or recruits for these roles.

Thanks in advance!

reddit.com
u/EstablishmentUsed815 — 2 months ago

I have ruined my career :/

I did everything I could - got good grades, got into a good college, upskilled myself, applied both on and off campus, and sent countless cold emails. Nothing ever seemed to work out. I got ghosted, even after going through rigorous rounds of aptitude tests and interviews. I'm tired of trying. It all feels so pointless. I couldn't land a good internship, and honestly, I don't even feel like sitting for placements anymore.

reddit.com
u/EstablishmentUsed815 — 2 months ago

Looking for Remote Live Project Opportunities

Hi everyone,

I'm a final-year undergraduate student looking for remote live projects with startups in operations, strategy, growth, research, or social impact.

I can help with:

* Market research & competitor analysis

* Business operations

* GTM and growth initiatives

* Data analysis

* Process documentation and project coordination

I've worked across student leadership, sponsorships, NGO initiatives, and research-oriented projects, and I'm eager to gain hands-on experience in a fast-paced startup environment.

Open to both short-term and long-term projects. If you're a founder or team looking for an extra pair of hands, I'd love to contribute and learn.

Please comment or DM if there's an opportunity. Thank you!

reddit.com
u/EstablishmentUsed815 — 2 months ago

How do Big Tech Strategy teams hire in India?

Hello everyone!

I'm interested in Big Tech Strategy / Strategy & Operations roles in India and had a few questions for people working in the space.

Which companies actively hire for these roles in India (Google, Microsoft, Amazon, Uber, Meta, etc.)?

Do these teams recruit directly from IIM ABC and ISB, or is prior consulting experience almost a prerequisite?

What backgrounds are most common among hires (MBB, product, analytics, startups, corporate strategy)?

What skills are most valued—problem solving, SQL, analytics, stakeholder management, product sense?

How does compensation compare with consulting at similar experience levels?

What does career progression look like?

I'm currently exploring long-term career paths and would love to hear from anyone working in Strategy, BizOps, Product Ops, or Corporate Strategy roles in Big Tech India.

Thanks!

reddit.com
u/EstablishmentUsed815 — 2 months ago