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Elimination of quantifiers of a theory of real closed rings.
(2022-10-09)
Let T* be the theory of lattice-ordered subrings, without minimal (non zero) idempontents, convex in von Neumann regular real closed rings that are divisible-proyectable and sc-regular. In this paper, a local divisibility ...
Local divisibility and model completeness of a theory of real closed rings
(2021-01)
Let T∗ be the theory of lattice-ordered rings convex in von Neumann regular real closed f-rings, without minimal idempotents (non zero) that are divisible-projectable and sc-regular. I introduce a binary relation describing ...
Locally nilpotent groups of units in tiled rings
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2010)
We consider locally nilpotent subgroups of units in basic tiled rings A, over local rings O which satisfy a weak commutativity condition. Tiled rings are generalizations of both tiled orders and incidence rings. If, in ...
Central quasipolar rings
(Universidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Matemáticas - Sociedad Colombiana de Matemáticas, 2015-07-01)
In this paper, we introduce a kind of quasipolarity notion for rings, namely, an element a of a ring R is called central quasipolar if there exists p2 = p ∈ R such that a + p is central in R, and the ring R is called central ...
Construction and decoding of BCH codes over chain of commutative rings
(2012)
In this paper, we present a new construction and decoding of BCH codes over certain rings. Thus, for a nonnegative integer t, let A0 ⊂ A1 ⊂···⊂ At−1 ⊂ At be a chain of unitary commutative rings, where each Ai is constructed ...
On representability of a finite local ring
(Academic Press IncSan DiegoEUA, 2000)