Results 41 to 50 of about 97,313 (257)
On commutative endomorphism rings [PDF]
Pacific Journal of Mathematics, 1970 This note deals with a finitely generated faithful module E over a commutative semi-prime noetherian ring R, with commutative endomorphism ring HomJ2(Er, E) = Ω(E). It is shown that E is identifiable to an ideal of R whenever Ω(E) lacks nilpotent elements; a class of examples with Ω(E) commutative but not semi-prime is discussed.
openaire +3 more sources
Subrings of I-rings and S-rings
International Journal of Mathematics and Mathematical Sciences, 1997 Let R be a non-commutative associative ring with unity 1≠0, a left R-module is said to satisfy property (I) (resp. (S)) if every injective (resp. surjective) endomorphism of M is an automorphism of M.
Mamadou Sanghare
doaj +1 more source
Some properties of graded comultiplication modules
Open Mathematics, 2017 Let G be a group with identity e. Let R be a G-graded commutative ring and M a graded R-module. In this paper we will obtain some results concerning the graded comultiplication modules over a commutative graded ring.
Al-Zoubi Khaldoun, Al-Qderat Amani
doaj +1 more source
A note on comaximal ideal graph of commutative rings
AKCE International Journal of Graphs and Combinatorics, 2020 Let be a commutative ring with identity. The comaximal ideal graph of is a simple graph with its vertices are the proper ideals of R which are not contained in the Jacobson radical of , and two vertices and are adjacent if and only if .
S. Kavitha, R. Kala
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 +2 more sources
Two-Local derivations on associative and Jordan matrix rings over commutative rings
, 2017 In the present paper we prove that every 2-local inner derivation on the matrix ring over a commutative ring is an inner derivation and every derivation on an associative ring has an extension to a derivation on the matrix ring over this associative ring.
Arzikulov, Farhodjon, Ayupov, Shavkat
core +1 more source
The commutative core of a Leavitt path algebra [PDF]
, 2018 For any unital commutative ring $R$ and for any graph $E$, we identify the commutative core of the Leavitt path algebra of $E$ with coefficients in $R$, which is a maximal commutative subalgebra of the Leavitt path algebra.
Canto, Cristóbal Gil +1 more
core +2 more sources
Centrally Prime Rings which are Commutative [PDF]
Kirkuk Journal of Science, 2006 In this paper the definition of centrally prime rings is introduced , our main purpose is to classify those centrally prime rings which are commutative and so that several conditions are given each of which makes a centrally prime ring commutative.
Adil K.Jabbar
doaj +1 more source
Triple Derivations and Triple Homomorphisms of Perfect Lie Superalgebras [PDF]
, 2016 In this paper, we study triple derivations and triple homomorphisms of perfect Lie superalgebras over a commutative ring $R$. It is proved that, if the base ring contains $\frac{1}{2}$, $L$ is a perfect Lie superalgebra with zero center, then every ...
Chen, Liangyun, Ma, Yao, Zhou, Jia
core +1 more source
Extensions of commutative rings
Topology and its Applications, 2011 AbstractIn studying the minimal prime spectra of commutative rings with identity we have been able to identify several interesting types of extensions of rings. In particular, we determine what kind of ring extensions will result in a homeomorphisms of the hull-kernel and inverse topologies on the minimal prime spectra.
Warren Wm. McGovern +2 more
openaire +2 more sources