Results 41 to 50 of about 326,550 (311)
Arab Journal of Mathematical Sciences, 2016 Let R be a commutative ring with identity. Let A(R) denote the collection of all annihilating ideals of R (that is, A(R) is the collection of all ideals I of R which admits a nonzero annihilator in R).
S. Visweswaran, Hiren D. Patel
doaj +1 more source
Noetherian properties of Fargues-Fontaine curves [PDF]
, 2015 We establish that the extended Robba rings associated to a perfect nonarchimedean field of characteristic p, which arise in p-adic Hodge theory as certain completed localizations of the ring of Witt vectors, are strongly noetherian Banach rings; that is,
Kedlaya, Kiran S.
core +1 more source
On hereditary irreducibility of some monomial matrices over local rings
Karpatsʹkì Matematičnì Publìkacìï, 2021 We consider monomial matrices over a commutative local principal ideal ring $R$ of type $M(t,k,n)=\Phi\left(\begin{smallmatrix}I_k&0\\0\,\,&tI_{n-k}\end{smallmatrix}\right ...
A.A. Tylyshchak, M. Demko
doaj +1 more source
Open Mathematics, 2022 Generalized Munn rings exist extensively in the theory of rings. The aim of this note is to answer when a generalized Munn ring is primitive (semiprimitive, semiprime and prime, respectively).
Guo Junying, Guo Xiaojiang
doaj +1 more source
The tame automorphism group in two variables over basic Artinian rings [PDF]
, 2009 In a recent paper it has been established that over an Artinian ring R all two-dimensional polynomial automorphisms having Jacobian determinant one are tame if R is a Q-algebra.
Berson +10 more
core +3 more sources
First-Degree Prime Ideals of Biquadratic Fields Dividing Prescribed Principal Ideals
Mathematics, 2020 We describe first-degree prime ideals of biquadratic extensions in terms of the first-degree prime ideals of two underlying quadratic fields. The identification of the prime divisors is given by numerical conditions involving their ideal norms.
Giordano Santilli, Daniele Taufer
doaj +1 more source
On p.p. structural matrix rings [PDF]
, 2012 A ring is called a left p.p. ring if every principal left ideal is projective. The objective here is to completely determine the left p.p.
Li, Chunna, Zhou, Yiqiang
core +1 more source
When Hopf Algebras are Frobenius Algebras [PDF]
, 1971 R. Larson and M. Sweedler recently proved that for free finitely generated Hopf algebras H over a principal ideal domain R the following are equivalent: (a) H has an antipode and (b) H has a nonsingular left integral.
Pareigis, Bodo
core +1 more source
Number theoretic properties of the commutative ring Zn [PDF]
International Journal of Research in Industrial Engineering, 2019 This paper deals with the number theoretic properties of non-unit elements of the ring Zn. Let D be the set of all non-trivial divisors of a positive integer n.
Sh. Sajana, D. Bharathi
doaj +1 more source
A note on a generalization of injective modules
Karpatsʹkì Matematičnì Publìkacìï, 2020 As a proper generalization of injective modules in term of supplements, we say that a module $M$ has the property (ME) if, whenever $M\subseteq N$, $M$ has a supplement $K$ in $N$, where $K$ has a mutual supplement in $N$. In this study, we obtain that $(
B.N. Türkmen, E. Türkmen
doaj +1 more source