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Liftings of Reduction Maps for Quaternion Algebras      Liftings of Reduction Maps  Quaternion Algebras        font style='font-size:12px;'> 2011/1/18
We construct liftings of reduction maps from CM points to supersingular points for general quaternion algebras and use these liftings to establish a precise correspondence between CM points on indefin...
Hyper N-ideals of hyper BCK-algebras     Hyper N-ideals  hyper BCK-algebras       font style='font-size:12px;'> 2010/9/26
Hyper N-ideals of hyper BCK-algebras.
Quantum Boolean Algebras     Quantum Boolean Algebras  math       font style='font-size:12px;'> 2010/11/24
We introduce quantum Boolean algebras which are the analogue of the Weyl algebras for Boolean affine spaces. We study quantum Boolean algebras from the logical and set theoretical viewpoints.
On the quantum cluster algebras of finite types     the quantum cluster algebras  finite types       font style='font-size:12px;'> 2010/11/12
We extend the definition of the quantum analogue of Caldero-Chapoton map defined by \cite{rupel}\cite{fanqin}. When $Q$ is a quiver of finite type, we prove that the algebra $\mathcal{AH}_{|k|}(Q)$ g...
In this paper we present our construction of the Hochschild and cyclic homology of a ½-algebra. We show that these constructions are generalizations of the Hochschild homology and cyclic homo...
In this paper we present our construction of the Hochschild and cyclic homology of a ½-algebra. We show that these constructions are generalizations of the Hochschild homology and cyclic homo...
A Hölder-type Inequality for Positive Functionals on $f$-Algebras.
A Note on Commutative Banach Algebras     Commutative Banach algebra  Norm  Similarity transformation  Spectral radius       font style='font-size:12px;'> 2008/7/3
A Note on Commutative Banach Algebras.
A norm inequality is proved for elements of a star algebra so that the algebra is noncommutative. In particular, a relation between maximal and minimal extensions of regular norm on C* - algebra is es...
On Some Inequalities in Normed Algebras     Normed algebras  Unital algebras  Generalised triangle inequality       font style='font-size:12px;'> 2008/6/27
On Some Inequalities in Normed Algebras.
Fuzzy congruences on fuzzy algebras      fuzzy algebras  isomorphism theorem        font style='font-size:12px;'> 2010/9/15
A notion of congruence on fuzzy algebras is introduced and the isomorphism theorem is established.

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