Let A be an algebra whose multiplication algebra M(A) is semiprime. We prove that, except in an exceptional case, the proper closed prime ideals of A are the maximal closed ideals of A, for the closure operations pi and epsilon. lit fact, these sets agree for both closures. The same ...
finite dimensional subalgebra 有限维子代数 相似单词 subalgebra 子代数 closed adj. 1. 关闭的 2. 只限特定人群的 3. 闭关自守的,不受外来影响的 closed circuit 闭路,闭路电路,闭路循环 closed loop 封闭环 conductively closed 被屏蔽,闭合的 closed cloorism 闭关主义 closed chain n. 闭链型 ...
maps from the ground vector spaces; the subalgebra spanned by the indicate functions of closed convex sets; the subalgebra spanned by the indicator functions of relatively open convex sets; and the embedding of these subalgebras in the commutative algebra of multivalued functions with ...
NORM CLOSED IDEALS IN THE ALGEBRA OF BOUNDED LINEAR OPERATORS ON ORLICZ SEQUENCE SPACES.NORM CLOSED IDEALS IN THE ALGEBRA OF BOUNDED LINEAR OPERATORS ON ORLICZ SEQUENCE SPACES.For each 1 < p < ∞, we consider a class of p-regular Orlicz sequence~ spaces lM ...
Ideals in $\\mathcal{P} _G$ and $\\beta G For a discrete group $G$, we use the natural correspondence between ideals in the Boolean algebra $ \\mathcal{P}_G$ of subsets of $G$ and closed subsets in the Stone-$\\check{C}$ech compactifi-cation $\\beta G$ as a right topo...
We introduce the notions of open-closed field algebra and open-closed field algebra over a vertex operator algebra V. In the case that V satisfies certain finiteness and reductivity conditions, we show that an open-closed field algebra over V canonically gives an algebra over a C -extension ...
For the following example:(if possible give example or just state impossible 1) a bounded subset A of R for which sup A is not a limit point of A. An example is (0,1) union {7}. will this work? 2) a finite subset A of R that is not closed I think it is not possible. Ple...
We give an example of a closed algebra which has only unary operations and whose clone of term operations is not Borel. Moreover, we provide an example of a coatom in the clone lattice whose obvious definition via an ideal of subsets of natural numbers would suggest that it is complete ...
Compatible Coq versions: Coq 8.17 or later Additional dependencies: MathComp ssreflect 2.1 or later MathComp algebra MathComp field MathComp bigenough 1.0.0 or later Coq namespace: mathcomp.real_closed Related publication(s): Formal proofs in real algebraic geometry: from ordered fields to qu...
TY - JOURAU - Kubarski, JanTI - A criterion for the minimal closedness of the Lie subalgebra corresponding to a connected nonclosed Lie subgroup.JO - Revista Matemática de la Universidad Complutense de MadridPY - 1991VL - 4IS - 2-3SP - 159EP - 176LA - engKW - Algebra de Lie; Gr...