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: Analogous to normal subgroups in group theory.

A textbook is shaped by the expertise and legacy of its authors. The book is a product of a rich academic lineage centered at the University of Calcutta and Jadavpur University.

: UG Honours students and candidates for competitive exams like NET, JAM, GATE, and TIFR .

12. Rings (20 pages) : The text moves beyond groups to rings, which have two operations, introducing integral domains, division rings, and fields. 13. Ideals and Homomorphisms of Rings (45 pages) : A core chapter for ring theory, detailing ideals, quotient rings, ring homomorphisms, maximal/prime ideals, and regular rings. 14. Factorization in Integral Domains (30 pages) : This covers the foundational concepts of factorization domains (UFDs) and Euclidean domains. 15. Polynomial Rings (40 pages) : The final chapter applies ring theory to polynomials, exploring rings of polynomials and criteria for irreducibility.

The textbook is designed primarily for undergraduate and postgraduate students of mathematics. It is widely used across Indian universities for B.Sc. (Honours), M.Sc., and competitive exams like CSIR NET, GATE, and IIT JAM.

Extension fields, algebraic extensions, and introductory concepts that pave the way toward Galois Theory. 4. Linear Algebra Elements

The book by M.K. Sen, S.K. Ghosh, and P. Mukhopadhyay is a widely used textbook in Indian universities, particularly for undergraduate (B.Sc. Honors) and postgraduate mathematics. Key Features of the Text

: Isomorphism theorems, Sylow theorems, and the newly added section on Automorphism of Groups Rings and Fields

Compact, well-structured, good coverage of core topics for coursework and exam prep. Useful as a secondary text or for focused review.

The book features an exceptional balance of solved problems and unsolved exercises. Mastering these problems prepares students thoroughly for major national examinations, including: (Mathematical Sciences) GATE (Mathematics) IIT JAM TIFR and NBHM Research Scholarships Effective Study Strategies for Abstract Algebra