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Equivalence between varieties of square root rings and Boolean algebras with a distinguished automorphism
(Academic Press Inc Elsevier Science, 2006-05)
In this paper we study the variety R2 of square root rings, that is, commutative rings with unit, of characteristic two, with the square root as an additional operation. We prove that this variety is generated by the finite ...
Hyperbolic unit groups and quaternion algebras
(INDIAN ACAD SCIENCES, 2009)
We classify the quadratic extensions K = Q[root d] and the finite groups G for which the group ring o(K)[G] of G over the ring o(K) of integers of K has the property that the group U(1)(o(K)[G]) of units of augmentation 1 ...
Algunas propiedades del espectro primo en MV-Álgebras
(Pereira : Universidad Tecnológica de PereiraFacultad de Ciencias BásicasMaestría en Enseñanza de las Matemáticas, 2013)
HYPERBOLICITY OF SEMIGROUP ALGEBRAS II
(WORLD SCIENTIFIC PUBL CO PTE LTD, 2010)
In 1996, Jespers and Wang classified finite semigroups whose integral semigroup ring has finitely many units. In a recent paper, Iwaki-Juriaans-Souza Filho continued this line of research by partially classifying the finite ...
Hyperbolicity of semigroup algebras
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2008)
Let A be a finite-dimensional Q-algebra and Gamma subset of A a Z-order. We classify those A with the property that Z(2) negated right arrow U(Gamma) and refer to this as the hyperbolic property. We apply this in case A = ...
Some classes of semisimple group (and loop) algebras over finite fields
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2010)
We determine the structure of the semisimple group algebra of certain groups over the rationals and over those finite fields where the Wedderburn decompositions have the least number of simple components We apply our work ...
Hochschild cohomology of triangular string algebras and its ring structure
(Elsevier Science, 2014-05)
We compute the Hochschild cohomology group HH*(A) in case A is triangular string algebra, and show that its ring structure is trivial.