The tabor gives some characterizations of strongly algebraic lattices, and proves that thecategory of strongly algebraic lattices is complete and cocomplete. Finally, this paper gives thecomplete conditions under whic...The tabor gives some characterizations of strongly algebraic lattices, and proves that thecategory of strongly algebraic lattices is complete and cocomplete. Finally, this paper gives thecomplete conditions under which the minimal mapping β: L→2L on a completely distributivelattice L preserves finite infs and arbitrary infs.展开更多
Here we generalize the "BBH"-asymptotic analysis to a simplified mathematical model for tho planar ferromaguets and antiferromagnets. To develop such a static theory is a necessary step for a rigorous mathem...Here we generalize the "BBH"-asymptotic analysis to a simplified mathematical model for tho planar ferromaguets and antiferromagnets. To develop such a static theory is a necessary step for a rigorous mathematical justification of dynamical laws for the magnetic vortices formally derived in [1] and [2].展开更多
文摘The tabor gives some characterizations of strongly algebraic lattices, and proves that thecategory of strongly algebraic lattices is complete and cocomplete. Finally, this paper gives thecomplete conditions under which the minimal mapping β: L→2L on a completely distributivelattice L preserves finite infs and arbitrary infs.
基金Supported by the Dean's Dissertation FellowshipSupported by a NSF grant
文摘Here we generalize the "BBH"-asymptotic analysis to a simplified mathematical model for tho planar ferromaguets and antiferromagnets. To develop such a static theory is a necessary step for a rigorous mathematical justification of dynamical laws for the magnetic vortices formally derived in [1] and [2].
