Results 31 to 40 of about 8,071 (246)
Irish Mathematical Society Bulletin, 1996 Summary: We exhibit with proof a ring of minimal order in which the commutator subset is not a subring.
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A Commutativity Theorem for Rings [PDF]
Proceedings of the American Mathematical Society, 1976 Let R R be any associative ring. Suppose that for every pair
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$(\delta, 2)$-primary ideals of a commutative ring [PDF]
, 2020 summary:Let $R$ be a commutative ring with nonzero identity, let $\mathcal {I(R)}$ be the set of all ideals of $R$ and $\delta \colon \mathcal {I(R)}\rightarrow \mathcal {I(R)}$ an expansion of ideals of $R$ defined by $I\mapsto \delta (I)$. We introduce
Çelikel, Ece Yetkin +2 more
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LINKAGE AND DUALITY OF MODULES
, 2009 Martsinkovsky and Strooker [13] recently introduced module theoretic linkage using syzygy and transpose. This generalization brings possibility of much application of linkage, especially, to homological theory of modules. In the present paper, we connect
Nishida, Kenji, Kenji Nishida
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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
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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
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Generalized Commutative Rings [PDF]
Nagoya Mathematical Journal, 1966 Among his various interests in algebra Nakayama also took part in the various researches, published in the early and middle 1950’s, which dealt with the commutativity of rings. This paper, which studies a problem of a related sort, thus seems appropriate in a Journal honoring his memory.We shall study a certain class of rings which satisfy a weak form ...
Belluce, L. P. +2 more
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On L-Fuzzy Multiplication Modules
Discussiones Mathematicae - General Algebra and Applications, 2017 Let L be a complete lattice. In a manner analogous to a commutative ring, we introduce and investigate the L-fuzzy multiplication modules over a commutative ring with non-zero identity.
Atani Shahabaddin Ebrahimi +1 more
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Free integro-differential algebras and Groebner-Shirshov bases [PDF]
, 2014 The notion of commutative integro-differential algebra was introduced for the algebraic study of boundary problems for linear ordinary differential equations. Its noncommutative analog achieves a similar purpose for linear systems of such equations.
Guo, Li +5 more
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On Semiprime Noetherian PI-Rings
, 2000 Let R be a semiprime Noetherian PI-ring and Q(R) the semisimple Artinian ring of fractions of R. We shall prove the following conditions are equivalent: (1) the Krull dimention of R is at most one, (2) Any ring between R and Q(R) is again right ...
Chiba, Katsuo
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