Morphisms, tensor products and σ-effect algebras

1998 ◽  
Vol 42 (3) ◽  
pp. 321-346 ◽  
Author(s):  
Stanley Gudder

1997 ◽  
Vol 36 (5) ◽  
pp. 1085-1098 ◽  
Author(s):  
Stanley Gudder


2004 ◽  
Vol 53 (2) ◽  
pp. 301-316 ◽  
Author(s):  
Sylvia Pulmannová


2003 ◽  
Vol 68 (1) ◽  
pp. 127-140 ◽  
Author(s):  
Sylvia Pulmannová

Tensor products of divisible effect algebras and tensor products of the corresponding universal groups are studied. It is shown that the universal group of the tensor product of divisible effect algebras is (isomorphic to) the tensor product of the corresponding universal groups. Moreover, it is shown that the tensor product of two unit intervals [0, 1] of real numbers is not a lattice.



1995 ◽  
Vol 34 (12) ◽  
pp. 2395-2407 ◽  
Author(s):  
Stanley Gudder


2009 ◽  
Vol 2 (1) ◽  
pp. 12-15
Author(s):  
Mohammad N. Abdulrahim


2021 ◽  
Vol 8 (3) ◽  
Author(s):  
Jan Draisma ◽  
Felipe Rincón

AbstractEvery tropical ideal in the sense of Maclagan–Rincón has an associated tropical variety, a finite polyhedral complex equipped with positive integral weights on its maximal cells. This leads to the realisability question, ubiquitous in tropical geometry, of which weighted polyhedral complexes arise in this manner. Using work of Las Vergnas on the non-existence of tensor products of matroids, we prove that there is no tropical ideal whose variety is the Bergman fan of the direct sum of the Vámos matroid and the uniform matroid of rank two on three elements and in which all maximal cones have weight one.



2021 ◽  
Vol 8 (1) ◽  
pp. 48-59
Author(s):  
Fernanda Botelho ◽  
Richard J. Fleming

Abstract Given Banach spaces X and Y, we ask about the dual space of the 𝒧(X, Y). This paper surveys results on tensor products of Banach spaces with the main objective of describing the dual of spaces of bounded operators. In several cases and under a variety of assumptions on X and Y, the answer can best be given as the projective tensor product of X ** and Y *.





2021 ◽  
pp. 1-14
Author(s):  
R.M. CAUSEY

Abstract Galego and Samuel showed that if K, L are metrizable, compact, Hausdorff spaces, then $C(K)\widehat{\otimes}_\pi C(L)$ is c0-saturated if and only if it is subprojective if and only if K and L are both scattered. We remove the hypothesis of metrizability from their result and extend it from the case of the twofold projective tensor product to the general n-fold projective tensor product to show that for any $n\in\mathbb{N}$ and compact, Hausdorff spaces K1, …, K n , $\widehat{\otimes}_{\pi, i=1}^n C(K_i)$ is c0-saturated if and only if it is subprojective if and only if each K i is scattered.



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