Category Archives: Abstract Algebra

Beyond the quadratic equation by Ron Irving

Posted on July 3, 2022 by Sumant Sumant

This is a good book to use for high school students who have been introduced to the complex numbers and now contemplating what next ? It can be assigned as an independent reading to introduce that to fundamental theorem of … Continue reading →

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if (gof)(x) is injective then f is injective

Posted on February 17, 2022 by Sumant Sumant
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Similarity is an equivalence relation on a set of square matrices

Posted on December 4, 2021 by Sumant Sumant
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Using extended Euclidean algorithm to find inverse

Posted on October 15, 2021 by Sumant Sumant
Posted in Abstract Algebra, Combinatorics, Number Theory | Leave a comment

Insight into Bezout’s Identity and its Proof

Posted on May 15, 2021 by Sumant Sumant
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gHg^(-1) is a subgroup of G whenever H is a subgroup of G

Posted on January 31, 2021 by Sumant Sumant

This is an important lemma.

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Prove that there are 30 different dice with 6 different colors

Posted on January 27, 2021 by Sumant Sumant
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Why cycles can be broken into product of transpositions ?

Posted on January 11, 2021 by Sumant Sumant
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Proof gHg^(-1) is a always a subgroup whenever H is a subgroup

Posted on January 11, 2021 by Sumant Sumant
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Proof: Two Cosets are either disjoint or are equal

Posted on January 10, 2021 by Sumant Sumant
Posted in Abstract Algebra, Proof | Leave a comment