Basic Topics In Algebra - I
Basic Topics In Algebra - I
Educreation Publishing
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This book for the student of semester-I of M.Sc. of Punjabi University Patiala; Topics of this book are:- Review of groups, subgroups, cosets, normal subgroups, quotient groups, homomorhisms and isomorphism theorems. Normal and subnormal series, Solvable groups, Nilpotent groups, Composition Series, Jordan-Holder theorem for groups. Group action, Stabilizer, orbit, Review of class equation, Permutation groups, cyclic decomposition, Alternating group A_(n,) Simplicity of A_(n,) Structure theory of groups, Fundamental theorem of finitely generated abelian groups, Invariants of a finite abelian group, Sylow's theorems, Groups of order P^2,pq. Review of rings and homorphism of rings, Ideals, Algebra of Ideals, Maximal and prime ideals, ideal in Quotient rings, Field of Quotients of integral Domain.
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He is a young author from Punjab, a prolific writer, he was authored a large number of research papers; His research papers are: Chain System the Formula; recently in "International Journal of Mathematics Trends and Technology", Complex chain System the Formula; recently in "International Journal of Science and Research (IJSR)", Chain System the Formula with changeable commission; recently in "International Journal Of Scientific Research And Education", Complex Chain System The Formula With Changeable Commission Recently in "International Journal of Multidisciplinary Research And Development", Chain System The Formula With Increasing Commission recently in "International Conference on Recent Trends in Engineering Science and Management", Complex Chain System The Formula With Increasing Commission recently in "International Journal of Mathematical Archive (IJMA)"
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