Subsets of Reduced Latin Squares of a Given Order
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I would like to know conventional methods for specifying subsets of reduced latin squares of a given order that have certain properties under multiplication.
#1) It seems redundant to indicate that reduced latin squares must show the idempotence of the first element; is this accurate?
#2) Is there a convention for indicating that a square exhibits commutativity such that the values at a given column and row are equal to those at the inversion of its column and row (e.g., the value at row three, column two is the same as the one at row two, column three)?
#3) As with item #1, would indicating that the squares exhibit commutativity also make redundant specifying the idempotence of the first element?
combinatorics elementary-set-theory terminology latin-square
asked Dec 8 '18 at 14:40
bblohowiakbblohowiak
1049
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add a comment |
$begingroup$
I would like to know conventional methods for specifying subsets of reduced latin squares of a given order that have certain properties under multiplication.
#1) It seems redundant to indicate that reduced latin squares must show the idempotence of the first element; is this accurate?
#2) Is there a convention for indicating that a square exhibits commutativity such that the values at a given column and row are equal to those at the inversion of its column and row (e.g., the value at row three, column two is the same as the one at row two, column three)?
#3) As with item #1, would indicating that the squares exhibit commutativity also make redundant specifying the idempotence of the first element?
combinatorics elementary-set-theory terminology latin-square
asked Dec 8 '18 at 14:40
bblohowiakbblohowiak
1049
$endgroup$
add a comment |
$begingroup$
I would like to know conventional methods for specifying subsets of reduced latin squares of a given order that have certain properties under multiplication.
#1) It seems redundant to indicate that reduced latin squares must show the idempotence of the first element; is this accurate?
#2) Is there a convention for indicating that a square exhibits commutativity such that the values at a given column and row are equal to those at the inversion of its column and row (e.g., the value at row three, column two is the same as the one at row two, column three)?
#3) As with item #1, would indicating that the squares exhibit commutativity also make redundant specifying the idempotence of the first element?
combinatorics elementary-set-theory terminology latin-square
asked Dec 8 '18 at 14:40
bblohowiakbblohowiak
1049
$endgroup$
I would like to know conventional methods for specifying subsets of reduced latin squares of a given order that have certain properties under multiplication.
#1) It seems redundant to indicate that reduced latin squares must show the idempotence of the first element; is this accurate?
#2) Is there a convention for indicating that a square exhibits commutativity such that the values at a given column and row are equal to those at the inversion of its column and row (e.g., the value at row three, column two is the same as the one at row two, column three)?
#3) As with item #1, would indicating that the squares exhibit commutativity also make redundant specifying the idempotence of the first element?
combinatorics elementary-set-theory terminology latin-square
combinatorics elementary-set-theory terminology latin-square
asked Dec 8 '18 at 14:40
bblohowiakbblohowiak
1049
asked Dec 8 '18 at 14:40
bblohowiakbblohowiak
1049
asked Dec 8 '18 at 14:40
bblohowiakbblohowiak
1049
asked Dec 8 '18 at 14:40
bblohowiakbblohowiak
1049
asked Dec 8 '18 at 14:40
bblohowiakbblohowiak
1049
1049
add a comment |
add a comment |
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