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The notions of (transitive, commutative, antisymmetric) bordered GE-algebras are introduced,and their properties are investigated. Relations between a commutative bordered GE-algebra and anantisymmetric bordered GE-algebra are considered, and also ...
Ravikumar Bandaru +2 more
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Ring homomorphisms on real Banach algebras
Let B be a strictly real commutative real Banach algebra with the carrier space ΦB. If A is a commutative real Banach algebra, then we give a representation of a ring homomorphism ρ:A→B, which needs not be linear nor continuous.
Takeshi Miura, Sin-Ei Takahasi
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On the commutative algebra of categories [PDF]
51 pages; some proofs and notation clarified; this is the final version to appear in Algebraic and Geometric ...
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These notes in this paper will discuss about C*-algebras commutative and its properties. The theory of algebra-*, Banach-* algebra, C*-algebras and *-homomorphism are included. We also give some examples of commutative C*-algebras.
Harmanus Batkunde
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Division Algebras with Left Algebraic Commutators [PDF]
لنفترض أن D عبارة عن جبر قسمة مع المركز F و K a (ليس بالضرورة مركزيًا) من D. يسمى العنصر a D جبريًا يساريًا (جبريًا أيمنًا) على K، إذا كان هناك متعدد حدود أيسر غير صفري a 0 + a 1 x + i + a n x n (متعدد الحدود الأيمن resp. a 0 + x a 1 + i + x n a n ) على K بحيث يكون 0 + a 1 a + i + a n a n = 0 (resp. a 0 + a 1 + i + a n a n a n ).
Mehdi Aaghabali +2 more
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Real Gel'fand-Mazur division algebras
We show that the complexification (A˜,τ˜) of a real locally pseudoconvex (locally absorbingly pseudoconvex, locally multiplicatively pseudoconvex, and exponentially galbed) algebra (A,τ) is a complex locally pseudoconvex (resp., locally absorbingly ...
Mati Abel, Olga Panova
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Some Equivalence Relations and Results over the Commutative Quaternions and Their Matrices
In this paper, we give some equivalence relations and results over the commutative quaternions and their matrices. In this sense, consimilarity, semisimilarity, and consemisimilarity over the commutative quaternion algebra and commutative quaternion ...
Kosal Hidayet Huda, Tosun Murat
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On the deformation of commutative algebras [PDF]
Introduction. Given a field k and a k-algebra A, Gerstenhaber has introduced the concept of a deformation of A [8] which is a k[[t]]-algebra structure on the module A[[t]]. One of the main problems of the theory of deformations is to determine those algebras for which the only deformation (modulo an equivalence relation) is the usual k[[t]]-algebra ...
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An algebraic model for commutative Hℤ–algebras [PDF]
We show that the homotopy category of commutative algebra spectra over the Eilenberg-Mac Lane spectrum of the integers is equivalent to the homotopy category of E-infinity-monoids in unbounded chain complexes. We do this by establishing a chain of Quillen equivalences between the corresponding model categories.
Richter, Birgit, Shipley, Brooke
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Relation Between Be-Algebras and G-Hilbert Algebras
Hilbert algebras are important tools for certain investigations in algebraic logic since they can be considered as fragments of any propositional logic containing a logical connective implication and the constant 1 which is considered as the logical ...
Rezaei Akbar, Saeid Arsham Borumand
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