On center-like elements in rings.
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Displaying 1 – 12 of 12
On equivalence of graded rings.
Refai, Mashhoor, Obiedat, Sofyan (1998)
International Journal of Mathematics and Mathematical Sciences
On generalized q.f.d. modules
Mohammad Saleh, S. K. Jain, Sergio R. López-Permouth (2005)
Archivum Mathematicum
A right -module is called a generalized q.f.d. module if every M-singular quotient has finitely generated socle. In this note we give several characterizations to this class of modules by means of weak injectivity, tightness, and weak tightness that generalizes the results in [sanh1], Theorem 3. In particular, it is shown that a module is g.q.f.d. iff every direct sum of -singular -injective modules in is weakly injective iff every direct sum of -singular weakly tight is weakly tight iff...
On hereditary artinian rings and the pure semisimplicity conjecture: rigid tilting modules and a weak conjecture
José L. García (2014)
Colloquium Mathematicae
A weak form of the pure semisimplicity conjecture is introduced and characterized through properties of matrices over division rings. The step from this weak conjecture to the full pure semisimplicity conjecture would be covered by proving that there do not exist counterexamples to the conjecture in a particular class of rings, which is also studied.
On hereditary rings and the pure semisimplicity conjecture II: Sporadic potential counterexamples
José L. García (2015)
Colloquium Mathematicae
It was shown in [Colloq. Math. 135 (2014), 227-262] that the pure semisimplicity conjecture (briefly, pssC) can be split into two parts: first, a weak pssC that can be seen as a purely linear algebra condition, related to an embedding of division rings and properties of matrices over those rings; the second part is the assertion that the class of left pure semisimple sporadic rings (ibid.) is empty. In the present article, we characterize the class of left pure semisimple sporadic rings having finitely...
On purity and quasi-equality of Abelian groups.
Turmanov, M.A. (2001)
Sibirskij Matematicheskij Zhurnal
On the Gel'fand-Kirillov conjecture for induced ideals in the semisimple case
Anthony Joseph (1979)
Bulletin de la Société Mathématique de France
On the Joseph-small additivity principle for goldie ranks. A study on extensions of noetherian rings with applications to enveloping algebras
Walter Borho (1982)
Compositio Mathematica
On the Primitivity of Certain Ore Extensions.
R.S. Irving (1979)
Mathematische Annalen
On the semiprimitivity of inverse semigroup algebras and on theorems by Domanov and Munn.
J.S. Ponizovskii (1990)
Semigroup forum
On the symmetry classes of the first covariant derivatives of tensor fields.
Fiedler, Bernd (2002)
Séminaire Lotharingien de Combinatoire [electronic only]
Ordering of the Primitive Spectrum of a Semisimple Lie Algebra.
David A. jr. Vogan (1980)
Mathematische Annalen
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