Two-dimensional real division algebras revisited.
Hübner, Marion, Petersson, Holger P. (2004)
Beiträge zur Algebra und Geometrie
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Hübner, Marion, Petersson, Holger P. (2004)
Beiträge zur Algebra und Geometrie
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L. Torkzadeh, M. M. Zahedi (2006)
Mathware and Soft Computing
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In this note we classify the bounded hyper K-algebras of order 3, which have D = {1}, D = {1,2} and D = {0,1} as a dual commutative hyper K-ideal of type 1. In this regard we show that there are such non-isomorphic bounded hyper K-algebras.
Tao Sun, Weibo Pan, Chenglong Wu, Xiquan Liang (2008)
Formalized Mathematics
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It is known that commutative BCK-algebras form a variety, but BCK-algebras do not [4]. Therefore H. Yutani introduced the notion of quasicommutative BCK-algebras. In this article we first present the notion and general theory of quasi-commutative BCI-algebras. Then we discuss the reduction of the type of quasi-commutative BCK-algebras and some special classes of quasicommutative BCI-algebras.
Bračič, Janko, Moslehian, Mohammad Sal (2007)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Bertram Yood (1996)
Colloquium Mathematicae
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Sergio Albeverio, Bakhrom A. Omirov, Isamiddin S. Rakhimov (2006)
Extracta Mathematicae
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Flaut, Cristina (2006)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Aida Toma (2003)
Extracta Mathematicae
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In this paper we define the notions of semicommutativity and semicommutativity modulo a linear subspace. We prove some results regarding the semicommutativity or semicommutativity modulo a linear subspace of a sequentially complete m-convex algebra. We show how such results can be applied in order to obtain commutativity criterions for locally m-convex algebras.
Amyari, M., Mirzavaziri, M. (2008)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Ernst Dieterich (1999)
Colloquium Mathematicae
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Given a euclidean vector space V = (V,〈〉) and a linear map η: V ∧ V → V, the anti-commutative algebra (V,η) is called dissident in case η(v ∧ w) ∉ ℝv ⊕ ℝw for each pair of non-proportional vectors (v,w) ∈ . For any dissident algebra (V,η) and any linear form ξ: V ∧ V → ℝ, the vector space ℝ × V, endowed with the multiplication (α,v)(β,w) = (αβ -〈v,w〉+ ξ(v ∧ w), αw + βv + η(v ∧ w)), is a quadratic division algebra. Up to isomorphism, each real quadratic division algebra arises in this...
A. L. Barrenechea, C. C. Pena (2005)
Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques
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