Advanced Algebra
Advanced Algebra by A.R. Vasishtha
English | 2021 | ISBN: N/A | ASIN: B097TPP9VL | 144 pages | PDF | 1.68 Mb
English | 2021 | ISBN: N/A | ASIN: B097TPP9VL | 144 pages | PDF | 1.68 Mb
SYLLABUS- ADVANCED ALGEBRA,
Rings: Rings, Various types of rings, Rings with unity, Rings without zero divisors, Properties of rings, Sub rings.
Ideals: Ideals, Quotient rings, Principal ideals, Maximal ideals, Prime ideals, Principal ideal domains, Characteristic of a ring.
Integral Domains and Fields: Integral domain, Field, Skew field etc., Field of quotients of an integral domain, Embedding of an integral domain in a field, Factorization in an integral domain, Divisibility, Units, Associates, Prime and irreducible elements, Unique Factorisation Domain, Euclidean rings.
Polynomial Rings: Polynomials over a ring, Degree of a polynomial, Zero, Constant and monic polynomials, Equality of polynomials, Addition and multiplication of polynomials, Polynomial rings, Embedding of a ring R into R[x], Division algorithm, Euclidean algorithm, Units and associates in polynomials, Irreducible polynomials.
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