Primitive Ideals and Symplectic Leaves of Quantum Matrices

Mosin, V. G.

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A generalization of Eichler's trace formula.

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Eichler's trace formula for traces of the Brandt-Eichler matrices is proved for arbitrary totally definite orders in central simple algebras of prime index over global fields. A formula for type numbers of such orders is proved as an application.

Normal forms of symplectic structures on the stratified spaces

W. Domitrz, S. Janeczko (1995)

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Removability of ideals in commutative Banach algebras

Vladimír Müller (1984)

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Non-removable ideals in commutative Banach algebras

V. Müller (1982)

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Primitive substitutive numbers are closed under rational multiplication

Pallavi Ketkar, Luca Q. Zamboni (1998)

Journal de théorie des nombres de Bordeaux

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Let $M (r)$ denote the set of real numbers $α$ whose base- $r$ digit expansion is ultimately primitive substitutive, i.e., contains a tail which is the image (under a letter to letter morphism) of a fixed point of a primitive substitution. We show that the set $M (r)$ is closed under multiplication by rational numbers, but not closed under addition.