On ternary semifields
In this paper, we introduce the notion of ternary semi-integral domain and ternary semifield and study some of their properties.In particular we also investigate the maximal ideals of the ternary semiring Z¯₀.
In this paper, we introduce the notion of ternary semi-integral domain and ternary semifield and study some of their properties.In particular we also investigate the maximal ideals of the ternary semiring Z¯₀.
We investigate the formal matrix ring over 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.
Let F: R → R/G be a Galois covering and (resp. ) 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 and is given in terms of representation categories of stabilizers of weakly-G-periodic modules for some class of coverings.
Let be a noncommutative prime ring equipped with an involution ‘’, and let be the maximal symmetric ring of quotients of . Consider the additive maps and . We prove the following under some inevitable torsion restrictions. (a) If and are fixed positive integers such that for all and for all , then . (b) If for all , then . Furthermore, we characterize Jordan left -centralizers in semiprime rings admitting an anti-automorphism . As applications, we find the structure of...