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Journal of Algebra and its Applications, ISSN 0219-4988, 07/2018, Volume 18, Issue 7
Let R be a commutative ring with 1 not equal 0. Recall that a proper ideal I of R is called a 2-absorbing ideal of R if a, b,c is an element of R and abc is an... 
(Formula presented.)-absorbing ideal | Prime ideal | (Formula presented.)-closed ideal | trivial extension | 2-absorbing ideal | idealization of a ring | radical ideal | MATHEMATICS | (m, n)-closed ideal | ELEMENTS | MATHEMATICS, APPLIED | n-absorbing ideal | 2-ABSORBING PRIMARY IDEALS
Journal Article
Journal of Algebra, ISSN 0021-8693, 10/2019, Volume 535, pp. 503 - 540
P.M. Cohn showed in 1971 that given a ring R, to describe, up to isomorphism, a division ring D generated by a homomorphic image of R is equivalent to... 
Group algebras of right-ordered groups | Coherent matroidal structures on free modules | Prime matrix ideals | Homomorphisms of rings to division rings | MATHEMATICS | Algebra
Journal Article
Journal of Algebra and its Applications, ISSN 0219-4988, 2017, Volume 16, Issue 12
Journal Article
Communications in Algebra, ISSN 0092-7872, 09/2019, Volume 47, Issue 9, pp. 3789 - 3793
We answer in negative two of questions posed in Ghashghaei and McGovern. We also establish a new characterization of semiprime left Goldie rings by showing... 
16N20 | Fusible ring | 16U60 | Goldie ring | the classical quotient ring | MATHEMATICS | PRIME-RINGS
Journal Article
Linear Algebra and its Applications, ISSN 0024-3795, 07/2018, Volume 549, p. 287
Let R be a locally nilpotent ring. Let σ be an endomorphism of R and let δ be a σ-derivation of R. Then the skew Laurent polynomial ring R[X,X−1;σ,δ] does not... 
Prime numbers | Theorems | Linear algebra | Polynomials | Algebraic group theory | Rings (mathematics)
Journal Article
Journal of Algebra, ISSN 0021-8693, 10/2018, Volume 512, pp. 295 - 309
A well-known line of study in the theory of the ring C(X) of continuous real-valued functions on the topological space X is to determine when, for a prime... 
Compact Hausdorff space | Real closed ring | Ring of continuous functions | Pseudo-valuation domain | MATHEMATICS | EVERY PRIME IDEAL | DOMAINS | REAL CLOSED RINGS | Valuation
Journal Article
Information Sciences, ISSN 0020-0255, 04/2015, Volume 300, Issue 1, pp. 63 - 69
Journal Article
Journal of Algebra, ISSN 0021-8693, 11/2017, Volume 490, pp. 316 - 329
In this study, we investigate the relationship between the index of reducibility and Chern coefficients for primary ideals. Therefore, the main result of this... 
Irreducible submodule | Index of reducibility | Hilbert coefficient | Chern coefficient | Parameter ideal | Cohen–Macaulay | Cohen-Macaulay | PARAMETER IDEALS | LINKS | PRIME IDEALS | LOCAL RING | REDUCIBILITY | MATHEMATICS | MODULES | HILBERT COEFFICIENTS | INDEX
Journal Article
Communications in Algebra, ISSN 0092-7872, 04/2012, Volume 40, Issue 4, pp. 1576 - 1594
Mason introduced the reflexive property for ideals, and then this concept was generalized by Kim and Baik, defining idempotent reflexive right ideals and... 
Right quotient ring | 16S99 | Right principally quasi-Baer ring | 16U80 | Semiprime ring | Polynomial ring | Right (left) idempotent reflexive ring | Matrix ring | Reflexive ring | REVERSIBLE RINGS | EXTENSIONS | REPRESENTATION | IDEALS | MATHEMATICS | PRIME | MODULES | ARMENDARIZ RINGS | REDUCED RINGS
Journal Article
Algebras and Representation Theory, ISSN 1386-923X, 4/2018, Volume 21, Issue 2, pp. 359 - 373
Journal Article
Communications in Algebra, ISSN 0092-7872, 03/2018, Volume 46, Issue 3, pp. 1096 - 1109
In this paper, we introduce the ring of Colombeau full generalized quaternion, and we study its algebraic and topological properties. We prove that the ring of... 
Secondary: 46F20 | Primary: 46F30 | noncommutative rings and ideals | Generalized quaternion algebra | prime and maximal ideals | MATHEMATICS | ALGEBRAS | NUMBERS | Quaternions
Journal Article
Communications in Algebra, ISSN 0092-7872, 06/2017, Volume 45, Issue 6, pp. 2546 - 2556
Let R be an hereditary Noetherian prime ring (or, HNP-ring, for short), and let S = R[x;σ] be a skew polynomial ring over R with σ being an automorphism on R.... 
16A12 | Hereditary Noetherian prime ring | skew polynomial ring | 16A05 | projective ideal | 16D40 | MATHEMATICS | NOETHERIAN PRIME-RINGS | ORDERS | Mathematical analysis | Polynomials | Rings (mathematics) | Paper | Algebra | Automorphisms
Journal Article
Communications in Algebra, ISSN 0092-7872, 03/2018, Volume 46, Issue 3, pp. 1096 - 1109
Journal Article
Communications in Algebra, ISSN 0092-7872, 04/2016, Volume 44, Issue 4, pp. 1783 - 1794
Journal Article
Topology and its Applications, ISSN 0166-8641, 08/2016, Volume 209, pp. 170 - 180
In this paper we show that the set of z-ideals and the set of z∘ ideals (=d-ideals) of the classical ring of quotients q(R) (q(X)) of a reduced ring R with... 
Maximal [formula omitted]-ideal | Classical ring of quotient | Basically disconnected space | Q-point | Quasi-F-space | Maximal z°-ideal | MATHEMATICS | Maximal z degrees-ideal | MATHEMATICS, APPLIED | Z(O)-IDEALS | SPACES | MINIMAL PRIME IDEALS
Journal Article
Proceedings of the American Mathematical Society, ISSN 0002-9939, 08/2018, Volume 146, Issue 8, pp. 3333 - 3343
Let (A,\mathfrak{m}) be a complete equicharacteristic Noetherian domain of dimension d + 1 \geq 2. Assume k = A/\mathfrak{m} has characteristic zero and that A... 
Local cohomology | Rings of differential operators | local cohomology | FINITENESS PROPERTIES | MATHEMATICS | MATHEMATICS, APPLIED | LOCAL COHOMOLOGY MODULES | ALGEBRA | PRIMES
Journal Article
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, ISSN 0138-4821, 9/2017, Volume 58, Issue 3, pp. 427 - 452
The Burnside ring  $$\mathcal {B}(G)$$ B ( G ) of a finite group G, a classical tool in group theory and representation theory, is studied from the point of... 
Idempotent | 13P99 | Connected component | Mathematics | Prime ideal graph | Spectrum | Secondary 13F99 | Geometry | Burnside ring | Algebra | Primary 19A22 | Convex and Discrete Geometry | 20C40 | Algebraic Geometry | Table of marks | Quasi-idempotent
Journal Article
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