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GATE199416
+3
votes
224
views
Every element $a$ of some ring $(R, +, o)$ satisfies the equation $a\;o\;a=a$. Decide whether or not the ring is commutative.
gate1994
settheory&algebra
ring
normal
outofsyllabusnow
asked
Oct 6, 2014
in
Set Theory & Algebra
by
Kathleen
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+1
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GATE199422
Consider the program below: Program main: var r:integer; procedure two: begin write (r); end procedure one: var r:integer; begin r:=5; two; end begin r:=2; two; one; two; end What is printed by the above program if Static scoping is assumed for all variables; Dynamic scoping is assumed for all variables. Give reasons for your answer.
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GATE19943.9
Every subset of a countable set is countable. State whether the above statement is true or false with reason.
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Oct 6, 2014
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by
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GATE19943.8
Give a relational algebra expression using only the minimum number of operators from $(∪, −)$ which is equivalent to $R$ $∩$ $S.$
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Oct 6, 2014
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gate1994
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GATE19942.9
The Hasse diagrams of all the lattices with up to four elements are _____ (write all the relevant Hasse diagrams)
asked
Oct 4, 2014
in
Set Theory & Algebra
by
Kathleen
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52k
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840
views
gate1994
settheory&algebra
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GATE19942.3
Amongst the properties $\left\{\text{reflexivity, symmetry, antisymmetry, transitivity}\right\}$ the relation $R=\{(x, y) \in N^2x \neq y\}$ satisfies _________
asked
Oct 4, 2014
in
Set Theory & Algebra
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Kathleen
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(
52k
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704
views
gate1994
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+25
votes
3
answers
6
GATE19942.2
On the set $N$ of nonnegative integers, the binary operation ______ is associative and noncommutative.
asked
Oct 4, 2014
in
Set Theory & Algebra
by
Kathleen
Veteran
(
52k
points)

1.1k
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gate1994
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+19
votes
1
answer
7
GATE19941.10
Some group $(G, o)$ is known to be abelian. Then, which one of the following is true for $G$? $g=g^{1} \text{ for every } g \in G$ $g=g^2 \text{ for every }g \in G$ $(goh)^2 = g^2oh^2 \text{ for every } g, h \in G$ $G$ is of finite order
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Oct 4, 2014
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Set Theory & Algebra
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Kathleen
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2.2k
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gate1994
settheory&algebra
groups
normal
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