Decompositions induced from the burnside algebra
نویسندگان
چکیده
منابع مشابه
Decompositions of a C-algebra
We prove that if A is a C-algebra, then for each a ∈ A, Aa = {x ∈ A/x ≤ a} is itself a C-algebra and is isomorphic to the quotient algebra A/θa of A where θa = {(x, y) ∈ A×A/a∧ x = a∧ y}. If A is C-algebra with T , we prove that for every a ∈ B(A), the centre of A, A is isomorphic to Aa ×Aa′ and that if A is isomorphic A1 ×A2, then there exists a∈ B(A) such that A1 is isomorphic Aa and A2 is is...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1968
ISSN: 0021-8693
DOI: 10.1016/0021-8693(68)90107-5