Infinite Tensor Products of Commutative Subspace Lattices

Infinite Products of Zero-dimensional Commutative Rings

Tensor Products of Commutative Banach Algebras

Let AI, be commutative semlslmple Banach algebras and 1 02 A2 be their projective tensor product. We prove that, if 10 2 is a group algebra (measure algebra) of a locally compact abelian group, then so are A 1 and A2. As a consequence, we prove that, if G is a locally compact abelian group and A is a comutatlve semi-simple Banach algebra, then the Banach algebra LI(G,A) of A-valued Bochner inte...

FUZZY CONVEX SUBALGEBRAS OF COMMUTATIVE RESIDUATED LATTICES

In this paper, we define the notions of fuzzy congruence relations and fuzzy convex subalgebras on a commutative residuated lattice and we obtain some related results. In particular, we will show that there exists a one to one correspondence between the set of all fuzzy congruence relations and the set of all fuzzy convex subalgebras on a commutative residuated lattice. Then we study fuzzy...

Dense lattices as Hermitian tensor products

Using the Hermitian tensor product description of the extremal even unimodular lattice of dimension 72 in G. Nebe (to appear) we show its extremality with the methods from Coulangeon (2000).

Tensor Products of Theories, Application to Infinite Loop Spaces*

In [4] Lawvere formalized the concept of an algebraic theory defined by operations and laws without existential quantifiers. Examples are the theories of monoids, groups, loops, rings, modules etc., whose axioms can be put into the required form; although not the theory of fields. The advantage of this approach lies in the unified treatment of a variety of universal constructions, especially th...