Abstract Algebra Quiz Challenge

Test

Jugadas 0

Crear copia

Test your knowledge of Abstract Algebra with these multiple-choice questions!

Paul Axl Joseph Simon

Filipinas

Todavía no hay resultados para este juego. ¡Sé el primero en aparecer en el ranking! Inicia sesión para identificarte.

Crea tu propio juego gratis desde nuestro creador de juegos

Compite contra tus amigos para ver quien consigue la mejor puntuación en esta actividad

Crear reto

Imprime tu juego

Abstract Algebra Quiz Challenge


Abstract Algebra Quiz ChallengeVersión en línea Test your knowledge of Abstract Algebra with these multiple-choice questions! por Paul Axl Joseph Simon 1 Which of the following is a subgroup of Z under addition? a N b {−1,0,2} c {1,2,3} d {0,2,4,6,…} 2 What is a cyclic group? a Where every element is its own inverse b Generated by a single element c With exactly two elements d That has a subgroup of every order 3 What is true about a group of prime order p? a Every non-identity element generates the group b It is not cyclic c It is not abelian d It has no subgroups 4 The center of a group G, Z(G), is: a The set of all identity elements b The subset containing only the inverses c The set of elements that commute with all elements in G d The middle element when G is ordered 5 In the symmetric group S3, how many elements are there? a 6 b 5 c 4 d 3 6 What is a homomorphism between two groups? a A mapping that reverses group elements b A one-to-one mapping c A bijective mapping d A mapping that preserves group structure 7 Which of the following is an example of a ring but not a field? a Q b Z c R d Z5 8 What is the characteristic of a field Zp, where p is prime? a 1 b p−1 c p d 0 9 An ideal in a ring is: a A group homomorphism b A subset closed under multiplication by any ring element c A subgroup under addition only d A field 10 Which of the following rings is a domain but not a field? a Z7 b R c Z d Q