Abstract Algebra Quizzes, Questions & Answers
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This Abstract Algebra: Permutation Groups Quiz assesses understanding of symmetric groups, transpositions, and permutation properties. It includes evaluating subgroup orders, cycle properties, and conjugation effects, essential...
Questions: 6 | Attempts: 1180 | Last updated: Mar 21, 2023
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Sample QuestionLet Sn be the symmetric group on a finite set with n symbols. Then which of the following is(are) TRUE?
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A Hopf algebra is a bialgebra (unit associative algebra and co-unital associative algebra) that is equipped with an antiautomorphism to satisfy a property. It is one of the mathematical representational theories and it is studied...
Questions: 10 | Attempts: 127 | Last updated: Mar 21, 2023
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Sample QuestionWho was Hopf named after?
Also known as the Eckmann–Shapiro Lemma, Shapiro's lemma is useful in numerous areas of the abstract algebra field in mathematics.
In the 21st century, Beno Eckmann and Arnold Shapiro individually contributed to the...
Questions: 10 | Attempts: 131 | Last updated: Mar 19, 2023
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Sample QuestionShapiro's lemma is also known as which of these?
Semi-simplicity is a concept widely used in many branches of mathematics, which include representation theory, linear and abstract algebra, algebraic geometry, and category theory.
An object that has semi-simplicity can be...
Questions: 10 | Attempts: 123 | Last updated: Mar 20, 2023
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Sample QuestionSimple objects are those that do not contain which of the following?
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