摘要:Let A be a central Galois algebra with Galois group G which are inner automorphisms induced by elements in A, and C the center of A. Then a one-to-one correspondence between the following sets is given: (1){T|T is a separable subalgebra of A over C such that the commutant of T in A is a projective group algebra}, and (2) {H|H is a subgroup of G}. Also, some properties of projective group subalgebras and their commutants are proved.
摘要:The general form of the theorem of duality with respect to decomposability and order convexity is given on a partially ordered locally convex space. The decomposable property in sttong topology is discussed and some related results areobtained.
关键词:locally decomposable space;locally order convex space