Add to ORKGAbstract. We study skew inverse power series extensions R[[y−1; τ, δ]], where R is a noetherian ring equipped with an automorphism τ and a τ-derivation δ. We find that these extensions share many of the well known features of commutative power series rings. As an application of our analysis, we see that the iterated skew inverse power series rings corresponding to nth Weyl algebras are complete, local, noetherian, Auslander regular domains whose right Krull dimension, global dimension, and classical Krull dimension are all equal to 2n. 1
AbstractThe first purpose of this paper is to set up a general notion of skew power series rings S o...
Abstract We give necessary and sufficient conditions on a ring R and an endomorphism σ of R for the ...
AbstractLet R be a ring, S a strictly ordered monoid and ω:S→End(R) a monoid homomorphism. In this p...
Abstract. We study skew inverse power series extensions R[[y−1; τ, δ]], where R is a noetherian ring...
Many well-known local rings, including soluble Iwasawa algebras and certain completed quantum algebr...
Abstract. This paper is a natural continuation of the study of skew power series rings A = R[[t;σ, δ...
summary:A ring $R$ is called a right $\rm PS$-ring if its socle, ${\rm Soc}(R_{R} )$, is projective....
Abstract. Let A be a semprime, right noetherian ring equipped with an auto-morphism α, and let B: = ...
Abstract. We study prime ideals in skew power series rings T: = R[[y; τ, δ]], for suitably condition...
SIGLETIB: RO 1945 (18) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische Informationsbib...
In this paper, we prove that if R is an Archimedean reduced ring and satisfy ACC on annihilators, th...
AbstractLet R be a ring, S a monoid and ω:S→End(R) a monoid homomorphism. In this paper we prove tha...
Let $alpha$ be an automorphism of a ring $R$. The authors [On skewinverse Laurent-serieswise Armenda...
Abstract. Let R be a ring and σ an automorphism of R. We prove that if R is a 2-primal Noetherian ri...
Abstract. Let R be a unitary ring and (M,≤) a strictly ordered monoid. We show that, if (M,≤) is pos...
AbstractThe first purpose of this paper is to set up a general notion of skew power series rings S o...
Abstract We give necessary and sufficient conditions on a ring R and an endomorphism σ of R for the ...
AbstractLet R be a ring, S a strictly ordered monoid and ω:S→End(R) a monoid homomorphism. In this p...
Abstract. We study skew inverse power series extensions R[[y−1; τ, δ]], where R is a noetherian ring...
Many well-known local rings, including soluble Iwasawa algebras and certain completed quantum algebr...
Abstract. This paper is a natural continuation of the study of skew power series rings A = R[[t;σ, δ...
summary:A ring $R$ is called a right $\rm PS$-ring if its socle, ${\rm Soc}(R_{R} )$, is projective....
Abstract. Let A be a semprime, right noetherian ring equipped with an auto-morphism α, and let B: = ...
Abstract. We study prime ideals in skew power series rings T: = R[[y; τ, δ]], for suitably condition...
SIGLETIB: RO 1945 (18) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische Informationsbib...
In this paper, we prove that if R is an Archimedean reduced ring and satisfy ACC on annihilators, th...
AbstractLet R be a ring, S a monoid and ω:S→End(R) a monoid homomorphism. In this paper we prove tha...
Let $alpha$ be an automorphism of a ring $R$. The authors [On skewinverse Laurent-serieswise Armenda...
Abstract. Let R be a ring and σ an automorphism of R. We prove that if R is a 2-primal Noetherian ri...
Abstract. Let R be a unitary ring and (M,≤) a strictly ordered monoid. We show that, if (M,≤) is pos...
AbstractThe first purpose of this paper is to set up a general notion of skew power series rings S o...
Abstract We give necessary and sufficient conditions on a ring R and an endomorphism σ of R for the ...
AbstractLet R be a ring, S a strictly ordered monoid and ω:S→End(R) a monoid homomorphism. In this p...
