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Any affine group scheme is the spectrum of a commutative Hopf algebra ( over a base S, this is given by the relative spectrum of an O < sub > S </ sub >- algebra ).
Some Related Sentences
Any and affine
Any action of the group by continuous affine transformations on a compact convex subset of a ( separable ) locally convex topological vector space has a fixed point.
Any and group
Any normal subgroup has a corresponding quotient group, formed from the larger group by eliminating the distinction between elements of the subgroup.
Any formal or informal group — a family, a church, a club, a business, a trade union — may be said to have government.
* Any simply connected solvable Lie group is isomorphic to a closed subgroup of the group of invertible upper triangular matrices of some rank, and any finite dimensional irreducible representation of such a group is 1 dimensional.
* Any simply connected nilpotent Lie group is isomorphic to a closed subgroup of the group of invertible upper triangular matrices with 1's on the diagonal of some rank, and any finite dimensional irreducible representation of such a group is 1 dimensional.
Any Lie group G can be decomposed into discrete, simple, and abelian groups in a canonical way as follows.
# Any tangent vector at the identity of a Lie group can be extended to a left invariant vector field by left translating the tangent vector to other points of the manifold.
" Any attempt to organize the group ... under a single authority would eliminate their independent initiatives, and thus reduce their joint effectiveness to that of the single person directing them from the centre.
Any symmetry group whose elements have a common fixed point, which is true for all finite symmetry groups and also for the symmetry groups of bounded figures, can be represented as a subgroup of orthogonal group O ( n ) by choosing the origin to be a fixed point.
However, in the case of a finitely presented group we know that not all the generators can be trivial ( Any individual generator could be, of course ).
Any group that managed to find ways of reasoning effectively would reap benefits for all its members, increasing their fitness.
Any time during a triad conversation, group members can switch seats and one of the co-pilots can sit in the pilot ’ s seat.
Any group can be seen as a category with a single object in which every morphism is invertible ( for every morphism f there is a morphism g that is both left and right inverse to f under composition ) by viewing the group as acting on itself by left multiplication.
Any and scheme
Any comprehensive scheme of accounting reform is a major professional and academic enterprise ; Typically it requires examination of the role of each of the fundamental factors of production, an analysis of capital indicating how many types there are and how each supports each factor of a production process.
Any additional enmity that would be earned from territorial concessions was downplayed as marginal and insignificant in the overall scheme of things.
Any scheme S has a unique morphism to Spec ( Z ), so this attitude, part of the relative point of view, doesn't lose anything.
Any group scheme admits natural left and right actions on its underlying scheme by multiplication and conjugation.
Any group scheme G of finite type is an extension of the connected component of the identity ( i. e., the maximal connected subgroup scheme ) by a constant group scheme.
Any complete group variety ( variety here meaning reduced and geometrically irreducible separated scheme of finite type over a field ) is automatically commutative, by an argument involving the action of conjugation on jet spaces of the identity.
Any backup scheme has some labor requirement, but complicated schemes have considerably higher labor requirements.
Any Tibetan language romanization scheme is faced with a dilemma: should it seek to accurately reproduce the sounds of spoken Tibetan, or the spelling of written Tibetan?
Any editing application which supports NTSC video can be used to edit footage employing the 3: 2 pulldown scheme.
Any decision taken under this scheme will require the support of at least 55 % of the Council of the European Union members who must also represent at least 65 % of the EU's citizens.
Any new scheme would use a smarycatd which would then be usable in-at least-all Dublin public transport systems.
Any compulsory scheme of data retention would also be affected by Article 8 ( the respect for the right of privacy ) of the European Convention on Human Rights.
Any reduced scheme has a normalization, whose construction we first give for irreducible reduced schemes.
Any and is
Any claimant whose claim is denied, or is approved for less than the full amount of such claim, shall be entitled, under such regulations as the Commission may prescribe, to a hearing before the Commission, or its duly authorized representatives, with respect to such claim.
Any alteration of one of these factors is distortion, although we generally use that word only for effects so pronounced that they can be stated quantitatively on the basis of standard tests.
Any musician playing Beethoven here, where Beethoven was born, is likely to examine his own interpretations with special care.
Any action is understood to create " seeds " in the mind that sprout into the appropriate results ( Pāli vipaka ) when they meet the right conditions.
Any information may be conveyed by an analog signal ; often such a signal is a measured response to changes in physical phenomena, such as sound, light, temperature, position, or pressure.
Any quantity of energy absorbed by the electron in excess of this amount is converted to kinetic energy according to the conservation of energy.
Any breach of these laws is a criminal offence and can lead to fine of up to £ 5, 000 or six months in prison.
The prohibition against retaliation or coercion applies broadly to any individual or entity that seeks to prevent an individual from exercising his or her rights or to retaliate against him or her for having exercised those rights ... Any form of retaliation or coercion, including threats, intimidation, or interference, is prohibited if it is intended to interfere.
Any work ( δW ) done must be done at the expense of internal energy U, since no heat δQ is being supplied from the surroundings.
" Any threat of war Clovis could make would only be effective if they were neighbors ; " it is nowhere written that Syagrius was handed over in 486 or 487.
Any player may declare the game over at any time during his turn if either of two conditions is true: one chain has 41 or more tiles, or there is at least one chain on the board and every chain on the board has 11 or more tiles.