2013, Order The dimension of the rectangular product of lattices 1999, Journal of the Korean Mathematical Society On the dimension of the cartesian product of relations and orders 1989, Order☆ The author was su
except that the Burgers circuit must start and finish in the surface of the stacking fault; if the circuit started at any other position it would be necessary to cross the fault plane and the one-to-one correspondence of the circuits in the perfect and imperfect lattices would not be maintai...
In [19], we introduced five new order relations on partial partitions, obtained by restricting the standard order; they do not constitute lattices; then, we showed by combinatorial methods that in the finite case, the Jordan–Hölder theorem holds for the standard order and these five orders....
When explicitly defining relations, we often use the standard matrix representation where the rows of the matrix are the tuples in the relation. For example,RNAE=(001010100011101110). Note that the relative order of the columns in the matrix representation does not matter since this only correspon...