The search session has expired. Please query the service again.

Displaying 361 – 380 of 568

Showing per page

On the binary system of factors of formal matrix rings

Weining Chen, Guixin Deng, Huadong Su (2020)

Czechoslovak Mathematical Journal

We investigate the formal matrix ring over R defined by a certain system of factors. We give a method for constructing formal matrix rings from non-negative integer matrices. We also show that the principal factor matrix of a binary system of factors determine the structure of the system.

On the category of modules of second kind for Galois coverings

Piotr Dowbor (1996)

Fundamenta Mathematicae

Let F: R → R/G be a Galois covering and m o d 1 ( R / G ) (resp. m o d 2 ( R / G ) ) be a full subcategory of the module category mod (R/G), consisting of all R/G-modules of first (resp. second) kind with respect to F. The structure of the categories ( m o d ( R / G ) ) / [ m o d 1 ( R / G ) ] and m o d 2 ( R / G ) is given in terms of representation categories of stabilizers of weakly-G-periodic modules for some class of coverings.

On the characterization of certain additive maps in prime * -rings

Mohammad Ashraf, Mohammad Aslam Siddeeque, Abbas Hussain Shikeh (2024)

Czechoslovak Mathematical Journal

Let 𝒜 be a noncommutative prime ring equipped with an involution ‘ * ’, and let 𝒬 m s ( 𝒜 ) be the maximal symmetric ring of quotients of 𝒜 . Consider the additive maps and 𝒯 : 𝒜 𝒬 m s ( 𝒜 ) . We prove the following under some inevitable torsion restrictions. (a) If m and n are fixed positive integers such that ( m + n ) 𝒯 ( a 2 ) = m 𝒯 ( a ) a * + n a 𝒯 ( a ) for all a 𝒜 and ( m + n ) ( a 2 ) = m ( a ) a * + n a 𝒯 ( a ) for all a 𝒜 , then = 0 . (b) If 𝒯 ( a b a ) = a 𝒯 ( b ) a * for all a , b 𝒜 , then 𝒯 = 0 . Furthermore, we characterize Jordan left τ -centralizers in semiprime rings admitting an anti-automorphism τ . As applications, we find the structure of...

On the classification of 3-dimensional coloured Lie algebras

Sergei Silvestrov (1997)

Banach Center Publications

In this paper, complex 3-dimensional Γ-graded ε-skew-symmetric and complex 3-dimensional Γ-graded ε-Lie algebras with either 1-dimensional or zero homogeneous components are classified up to isomorphism.

Currently displaying 361 – 380 of 568