Results 91 to 100 of about 87,285 (205)

Diagonalisasi matriks atas ring dengan metode pemfaktoran secara lengkap

Majalah Ilmiah Matematika dan Statistika
Generally, discussion about diagonalization of matrices in linear algebra is a matrix over the field. This research presents the diagonalization of matrices over commutative rings.
Nikita Nikita, Ari Suparwanto, Sutopo Sutopo   +2 more
doaj   +1 more source

Automorphisms of commutative rings [PDF]

Transactions of the American Mathematical Society, 1975
Let B B be a commutative ring with 1, let G G be a finite group of automorphisms of B B , and let A A be the subring of G G -invariant elements of B B . For any separable A A -subalgebra A ′ A’ of
openaire   +1 more source

The fundamental group of the complement of a generic fiber‐type curve

Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
Abstract In this paper, we describe and characterize the fundamental group of the complement of generic fiber‐type curves, that is, unions of (the closure of) finitely many generic fibers of a component‐free pencil F=[f:g]:CP2⤍CP1$F=[f:g]:\mathbb {C}\mathbb {P}^2\dashrightarrow \mathbb {C}\mathbb {P}^1$.
José I. Cogolludo‐Agustín, Eva Elduque   +1 more
wiley   +1 more source

Commutative QF-1 Rings

Proceedings of the American Mathematical Society, 1974
If R is a commutative artinian ring, then it is known that every faithful R-module is balanced (i.e. has the double centralizer property) if and only if R is a quasi-Frobenius ring. In this note it is shown that the assumption on R to be artinian can be replaced by the weaker condition that R ist noetherian.
openaire   +2 more sources

Commutative Γ-rings do not model all commutative ring spectra [PDF]

Homology, Homotopy and Applications, 2009
The author proves the theorem in the title. That is, it is well-known that \(\Gamma\)-spaces model all connective spectra in algebraic topology. It was proved in [\textit{M. A. Mandell, J. P. May, S. Schwede} and \textit{B. Shipley}, Proc. Lond. Math. Soc., III. Ser. 82, No.
openaire   +3 more sources

Commutative monoid rings as Hilbert rings [PDF]

Proceedings of the American Mathematical Society, 1985
Assume that R is a commutative unitary ring and that S is a cancellative monoid with quotient group G. Let \(\alpha\) be the torsion-free rank of G and let \(X=\{X_ i\}\) be a set of \(\alpha\) indeterminates over R. We prove that the monoid ring R[S], the group ring R[G], and the polynomial ring R[X] are simultaneously Hilbert rings. In particular, if
openaire   +2 more sources

A note on co-maximal graphs of commutative rings

AKCE International Journal of Graphs and Combinatorics, 2018
Let R be a commutative ring with unity. The co-maximal graph Γ ( R ) is the graph with vertex set R and two vertices a and b are adjacent if R a + R b = R .
Deepa Sinha, Anita Kumari Rao
doaj   +1 more source

On Axis-Reversible Rings

Mathematics
This work explores the notion of axis-reversible rings, a generalization of axis-commutative rings. The objective is to investigate their characteristics and relevance within the wider context of ring theory.
Muhammad Saad, Majed Zailaee
doaj   +1 more source

Near Prime Spectrum

Journal of Kufa for Mathematics and Computer, 2013
Let  be a commutative ring with identity . It is well known that a topology was defined for  called the Zariski topology (prime spectrum) . In this paper we will generalize this idea for near prime ideal . If  be a commutative near-ring with identity
Hadi J Mustafa, Ameer Mohammad-Husain Hassan   +1 more
doaj   +1 more source

N-ideals of commutative rings

Filomat, 2017
In this paper, we present a new classes of ideals: called n-ideal. Let R be a commutative ring with nonzero identity. We define a proper ideal I of R as an n-ideal if whenever ab ? I with a ? ?0, then b ? I for every a,b ? R. We investigate some properties of n-ideals analogous with prime ideals. Also, we give many examples with regard to n-
Tekir, Unsal, Koc, Suat, Oral, Kursat Hakan   +2 more
openaire   +3 more sources