Results 201 to 210 of about 314 (211)

TRIANGULAR MATRIX REPRESENTATION OF SKEW GENERALIZED POWER SERIES RINGS

Asian-European Journal of Mathematics, 2012
Let R be a ring, (S, ≤) a strictly ordered monoid and ω : S → End (R) a monoid homomorphism. In this paper, we study the triangular matrix representation of skew generalized power series ring R[[S, ω]] which is a compact generalization of (skew) polynomial rings, (skew) power series rings, (skew) Laurent polynomials rings, (skew) Laurent power series ...
openaire   +2 more sources

McCoy property and nilpotent elements of skew generalized power series rings

Journal of Algebra and Its Applications, 2017
Let [Formula: see text] be a ring, [Formula: see text] a strictly ordered monoid and [Formula: see text] a monoid homomorphism. The skew generalized power series ring [Formula: see text] is a common generalization of (skew) polynomial rings, (skew) power series rings, (skew) Laurent polynomial rings, (skew) group rings, and Mal’cev–Neumann Laurent ...
Paykan, Kamal, Moussavi, Ahmad
openaire   +1 more source

Semiprimeness, quasi-Baerness and prime radical of skew generalized power series rings

Communications in Algebra, 2016
ABSTRACTLet R be a ring, (S,≤) a strictly ordered monoid and ω:S→End(R) a monoid homomorphism. The skew generalized power series ring R[[S,ω]] is a common generalization of (skew) polynomial rings, (skew) power series rings, (skew) Laurent polynomial rings, (skew) group rings, and Mal’cev-Neumann Laurent series rings.
Kamal Paykan, Ahmad Moussavi
openaire   +1 more source

Nilpotent elements and nil-Armendariz property of skew generalized power series rings

Asian-European Journal of Mathematics, 2016
Let [Formula: see text] be a ring, [Formula: see text] a strictly ordered monoid, and [Formula: see text] a monoid homomorphism. The skew generalized power series ring [Formula: see text] is a common generalization of (skew) polynomial rings, (skew) power series rings, (skew) Laurent polynomial rings, (skew) group rings, and Mal’cev–Neumann Laurent ...
Paykan, Kamal, Moussavi, Ahmad
openaire   +1 more source

Left principally quasi-Baer and left APP-rings of skew generalized power series

Journal of Algebra and Its Applications, 2014
Let R be a ring, S a strictly ordered monoid, and ω : S → End (R) a monoid homomorphism. The skew generalized power series ring R[[S, ω]] is a common generalization of (skew) polynomial rings, (skew) Laurent polynomial rings, (skew) power series rings, (skew) Laurent series rings, and (skew) monoid rings.
openaire   +2 more sources

On annihilator ideals in skew power series rings

Communications in Algebra, 2023
E Hashemi
exaly  

Archimedean domains of skew generalized power series

Forum Mathematicum, 2020
Ryszard Mazurek
exaly  

Semiprimeness, quasi-Baerness and prime radical of skew generalized power series rings

Communications in Algebra, 2017
Kamal Paykan, A Moussavi
exaly  

Regularity of twisted partial skew generalized power series

Communications in Algebra
Wagner Cortes
exaly  

Principally Quasi-Baer Skew Power Series Rings

Communications in Algebra, 2010
exaly