Displaying similar documents to “Range-commutativity maps on *-algebras.”

Dual commutative hyper K-ideals of type 1 in hyper K-algebras of order 3.

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.

General Theory of Quasi-Commutative BCI-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.

Commutativity criterions in locally m-convex algebras.

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.

Ideally factored algebras.

Amyari, M., Mirzavaziri, M. (2008)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

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Dissident algebras

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) ∈ V 2 . 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...