Results 41 to 50 of about 2,231 (145)
Unbounded symmetrizable idempotents [PDF]
, 2012 The relationship between closed unbounded idempotents and dense decompositions of a Hilbert space is explored by extending the notion of compatibility between closed subspaces and positive bounded ...
Gonzalez, M. Celeste +4 more
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Threads without idempotents [PDF]
Proceedings of the American Mathematical Society, 1961 If a thread S has no idempotents and if S2 = S, then S is iseomorphic with the real interval (0, 1) under ordinary multiplication [2, Corollary 5.6]. Although the result is not nearly as pleasing as the special case just quoted, we shall give here a description of any thread without idempotents.
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C∗-algebras without idempotents [PDF]
, 1979 The simplest statement of the main results are these: Let π be a free group on 2 generators. Let Cπ be the complex ring and L1π the ring extension to L1 sums. Then L1π contains no idempotents. Furthermore, if α ϵ Cπ, β ϵ L1π are nonzero, then αβ ≠ 0. The
Joel M Cohen, Cohen, Joel M
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Idempotent Noether lattices [PDF]
Proceedings of the American Mathematical Society, 1969 In his paper, Abstract commutative ideal theory [2 ], Dilworth proved that a Noether lattice on which the multiplication is the meet operation is a finite Boolean algebra. This note proves that if the multiplication in a Noether lattice is idempotent (A2= A for all A in the lattice), then the lattice is a finite Boolean algebra.
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Smarandache Idempotents in Loop Rings [PDF]
, 2005 In this paper we establish the existence of S-idempotents in case of loop ...
Chetry, Moon K., Vasantha, W.B.
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On the existence of idempotent liftings [PDF]
Proceedings of the American Mathematical Society, 1989 An existence theorem for idempotent liftings is proved. This implies that every compact measure space with full support and separable measure algebra admits an idempotent lifting.
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Varieties of idempotents in nonassociative algebras [PDF]
, 2019 In this paper, we study the variety of all nonassociative (NA) algebras from the idempotent point of view. We are interested, in particular, in the spectral properties of idempotents when algebra is generic, i.e. idempotents are in general position.
Krasnov, Yakov,, Tkachev, Vladimir,
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On central idempotents in the Brauer algebra [PDF]
, 2018 We provide a method for constructing central idempotents in the Brauer algebra (using the splitting of short exact sequences of bimodules). From this we determine certain primitive central idempotents.
Martin, PP +5 more
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On algebras generated by idempotents [PDF]
, 2017 Idempotents ($e^2=e$) in (nonassociative commutative) algebras (e.g., Jordan algebras) behave sometimes like involutions in a group. Indeed, in some (very) interesting cases one can associate an involutive automorphism of the algebra to an idempotent ...
Segev, Yoav
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An idempotent not conjugate with its complementary idempotent
Annals of the Alexandru Ioan Cuza University - MathematicsSummary: In \(\mathbb{M}_2(\mathbb{Z}[i\sqrt{5}])\), we show that the idempotent \(\begin{bmatrix} 3&\alpha\\-\overline{\alpha}&-2\end{bmatrix}\) with \(\alpha=1+i\sqrt{5}\) is not similar to its complementary idempotent.
Călugăreanu, Grigore, Pop, Horia F.
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