1. `(ZZ_(n ),+_n ,._n)`
2. `(nZ_,+,.)`
3. `M_(2X2)(RR)`
4. `N`
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Answer: D
Explanation:
• N/A
20 0 Complains

1. `0.a=a.0=0 ∀a∈R`
2. ` a(-b)=(-a)b=-(ab)∀a,b∈R`
3. `(-a)(-b)=ab∀ab∈R`
4. All of These
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Answer: D
Explanation:
• N/A
8 0 Complains

1. 4
2. 2
3. 4
4. 5
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Answer: A
Explanation:
• N/A
25 0 Complains

1. Every ring is also a field.
2. Every ring is a ring with unity.
3. The units of `Z_n` form a group under multiplication.
4. The distributive laws in the ring are not so important.
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Answer: C
Explanation:
• N/A
16 0 Complains

Which of the following is an integral domain?

1. `ZZ_n, n ` is composite

2. `ZZ_p` p is composite

3. `ZZ_12`

4. `M_(2×2)(RR)`

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Answer: C
Explanation:
• N/A
5 4 Complains

1. 1
2. 2
3. 3
4. Only identity element is idempotent
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Answer: B
Explanation:
• N/A
5 0 Complains

1. `M_(2×2) (ZZ)`
2. `ZZ_n`
3. 2Z
4. `ZZ[x]`
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Answer: C
Explanation:
• N/A
5 0 Complains

1. `2ZZ`
2. `M_(2×2) (2ZZ)`
3. `M_(2×2) (ZZ_n)`
4. `ZZ[x]`
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Answer: B
Explanation:
• N/A
3 0 Complains

1. Z
2. `Q`
3. `2ZZ`
4. `M_(2×2) (ZZ)`
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Answer: D
Explanation:
• N/A
5 0 Complains

Infinite Boolean ring is?

1. `Q`

2. `M_(2×2) (ZZ_n)`

3. `M_(2×2) (ZZ)`

4. `Z_2⊕Z_2⊕Z_2 ⊕Z_2 ⊕….`

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Answer: D
Explanation:
• N/A
11 0 Complains