### More on evaluating determinants

A. R. Moghaddamfar, S. M. H. Pooya, S. Navid Salehy, S. Nima Salehy (2012)

Matematički Vesnik

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A. R. Moghaddamfar, S. M. H. Pooya, S. Navid Salehy, S. Nima Salehy (2012)

Matematički Vesnik

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M. O. Omeike, A. U. Afuwape (2010)

Kragujevac Journal of Mathematics

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W. Królikowski (1991)

Annales Polonici Mathematici

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The concept of supercomplex structure is introduced in the pseudo-Euclidean Hurwitz pairs and its basic algebraic and geometric properties are described, e.g. a necessary and sufficient condition for the existence of such a structure is found.

Víctor Álvarez, José Andrés Armario, María Dolores Frau, Félix Gudiel (2015)

Open Mathematics

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An n by n skew-symmetric type (-1; 1)-matrix K =[ki;j ] has 1’s on the main diagonal and ±1’s elsewhere with ki;j =-kj;i . The largest possible determinant of such a matrix K is an interesting problem. The literature is extensive for n ≡ 0 mod 4 (skew-Hadamard matrices), but for n ≡ 2 mod 4 there are few results known for this question. In this paper we approach this problem constructing cocyclic matrices over the dihedral group of 2t elements, for t odd, which are equivalent to (-1;...

Garsia, A.M., Wallach, N.R. (2003)

Séminaire Lotharingien de Combinatoire [electronic only]

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Herzog, Jürgen, Restuccia, Gaetana, Rinaldo, Giancarlo (2006)

Beiträge zur Algebra und Geometrie

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Lomidze, I. (1994)

Georgian Mathematical Journal

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Coleman, Clare, Easdown, David (2002)

Beiträge zur Algebra und Geometrie

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Mazorchuk, Volodymyr (2001)

AMA. Algebra Montpellier Announcements [electronic only]

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Ashordia, M. (1994)

Georgian Mathematical Journal

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Bhattacharjee, D. (1999)

Georgian Mathematical Journal

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A. L. Barrenechea, C. C. Pena (2005)

Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques

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Maria-Angeles Zurro (1998)

Banach Center Publications

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The paper establishes the basic algebraic theory for the Gevrey rings. We prove the Hensel lemma, the Artin approximation theorem and the Weierstrass-Hironaka division theorem for them. We introduce a family of norms and we look at them as a family of analytic functions defined on some semialgebraic sets. This allows us to study the analytic and algebraic properties of this rings.