Results 11 to 20 of about 19,103 (226)

Chain of Prime Ideals in Formal Power Series Rings [PDF]

Proceedings of the American Mathematical Society, 1983
Let R R be a Noetherian domain and
de Souza Doering, Ada Maria, Lequain, Yves   +1 more
openaire   +2 more sources

Jordan derivations of polynomial rings

Karpatsʹkì Matematičnì Publìkacìï, 2012
We study connections between the set of Jordan derivations of a ring $R$ and the sets of Jordan derivations of a polynomial ring $R[x_1,\dots,x_n]$ and  formal power series ring $R[[x_1,\dots,x_n]]$. We also establish a condition when $JDer R$ is a left $
I. I. Lishchynsky
doaj   +1 more source

Moduli space of filtered λ-ringstructures over a filtered ring

International Journal of Mathematics and Mathematical Sciences, 2004
Motivated in part by recent works on the genus of classifying spaces of compact Lie groups, here we study the set of filtered λ-ring structures over a filtered ring from a purely algebraic point of view. From a global perspective, we first show that this
Donald Yau
doaj   +1 more source

Multiplicative Structure and Hecke Rings of Generator Matrices for Codes over Quotient Rings of Euclidean Domains

Mathematics, 2017
In this study, we consider codes over Euclidean domains modulo their ideals. In the first half of the study, we deal with arbitrary Euclidean domains.
Hajime Matsui
doaj   +1 more source

Commutator automorphisms of formal power series rings [PDF]

Proceedings of the American Mathematical Society, 2005
For a big class of commutative rings R R , every continuous
Gubeladze, Joseph, Mushkudiani, Zaza
openaire   +3 more sources

FACTORING POLYNOMIALS IN THE RING OF FORMAL POWER SERIES OVER ℤ [PDF]

International Journal of Number Theory, 2012
We consider polynomials with integer coefficients and discuss their factorization properties in ℤ[[x]], the ring of formal power series over ℤ. We treat polynomials of arbitrary degree and give sufficient conditions for their reducibility as power series.
Birmajer, Daniel, Gil, Juan B., Weiner, Michael D.   +2 more
openaire   +2 more sources

Nondegenerate Ideals in Formal Power Series Rings

Rocky Mountain Journal of Mathematics, 2004
Let \(A\) be the formal power series ring \(\mathbb{C}[[x_1,\dots, x_n]]\) over \(\mathbb{C}\). For \(k=(k_1,\dots, k_n)\in \mathbb{Z}^n_+\), put \(x^k= x^{k_1}_1\cdots x^{k_n}_n\) and an element \(g= \sum a_{k_1,\dots, k_n} x^{k_1}_1\cdots x^{k_n}_n\) of \(A\) is written as \(g=\sum a_k x^k\). For an element \(g= \sum a_k x^k\) and an ideal \(I\) of \(
openaire   +2 more sources

Formal power series rings over a $\pi$-domain

Journal of the European Mathematical Society, 2009
Let R be an integral domain, Χ be a set of indeterminates over R , and
Kang, BG, Oh, DY
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Design and analysis strategies for robust microbiome ageing research

FEBS Letters, EarlyView.
The gut microbiome changes with age and associates with age‐related morbidity and mortality, establishing it as a potential biomarker and intervention target for ageing. Realising this potential requires methodological rigour, yet distinguishing biological signals from methodological artefacts remains challenging across cohorts. This review provides an
Mark Olenik, İsmail Güderer, Yi Wang, Tayyaba Alvi, Prasoon Pandey, Handan Melike Dönertaş   +5 more
wiley   +1 more source

Catenarity of formal power series rings over a pullback

Journal of Pure and Applied Algebra, 1992
Let \((T,M,K)\) be a quasi local domain with maximal ideal \(M\) and residue class field \(K\). If \(\varphi\) is the natural surjection of \(T\) on \(K\), for any subring \(D\) of \(K\), \(\varphi^{-1}(D)=R\) is called the pull back. The main interest of the authors is in finding conditions for \(R[[X_ 1,\dots,X_ n]]\) catenarian.
ANDERSON DF, DOBBS DE, FONTANA, Marco, KHALIS M.   +3 more
openaire   +1 more source