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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 ...
Total Ring of fractions of skew PBW extensions
(2014)
We study the Gelfand Kirillov conjecture for some algebras and rings, we use similar tools for studying the ring of fractions of skew PBW extensions, establishing isomorphisms between algebras and rings. Particular cases ...
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 ...
Álgebras de explosão de certos ideais monomiais
(Pós-Graduação em MatemáticaUniversidade Federal de Sergipe, 2023)
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.
Some remarks about the fusible property of noncommutative polynomial extensions
(Bogotá - Ciencias - Maestría en Ciencias - MatemáticasDepartamento de MatemáticasUniversidad Nacional de Colombia - Sede Bogotá, 2020-05-31)
In this work, we focus on three objectives: first, we investigate fusible property on skew PBW extensions, recognizing conditions that guarantee the property for this family of algebras. Later, we turn our attention to the ...
Álgebras de explosão e birracionalidade
(Pós-Graduação em MatemáticaUniversidade Federal de Sergipe (UFS), 2023)
Alternant and BCH codes over certain rings
(Sociedade Brasileira de Matemática Aplicada e Computacional, 2003-01-01)
Alternant codes over arbitrary finite commutative local rings with identity are constructed in terms of parity-check matrices. The derivation is based on the factorization of x s - 1 over the unit group of an appropriate ...