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We demonstrate numerically that for Ising spins on square lattices withferromagnetic second neighbour interactions and random near neighbourinteractions, two dimensional Ising spin glass order with a non-zero freezingtemperature can occur. We compare some of the physical properties of these spinglasses with those of standard spin glasses in higher dimensions.Comment: 9 page latex file and 9 ps figures. To appear in Phys. Rev. Let

Two-Dimensional Ising Spin Glasses with Nonzero Ordering Temperatures