Rings in which ideals are annihilators
Displaying 101 – 120 of 133
Rings with the Minimum Condition for Principal Right Ideals Have the Maximum Condition for Principal Left Ideals.
David Jonah (1970)
Mathematische Zeitschrift
-pure submodules.
Crivei, Iuliu (2005)
International Journal of Mathematics and Mathematical Sciences
-weakly regular group rings
W. B. Vasantha Kandasamy (1993)
Archivum Mathematicum
In this note we obtain a necessary and sufficient condition for a ring to be -weakly regular (i) When is a ring with identity and without divisors of zero (ii) When is a ring without divisors of zero. Further it is proved in a -weakly regular ring with identity and without units every element is a zero divisor.
Semiprime ideals and irreducible ideals of -semirings.
Dutta, Tapan Kumar, Sardar, Sujit Kumar (2000)
Novi Sad Journal of Mathematics
Semiprime ideals of skew polynomial rings.
Voskoglou, M.G. (1990)
Publications de l'Institut Mathématique. Nouvelle Série
Semiprime SF-rings whose essential left ideals are two-sided.
Zhang, Jule, Du, Xianneng (1994)
International Journal of Mathematics and Mathematical Sciences
Skew polynomial rings satisfying - property.
Salem, Refaat M. (1994)
Portugaliae Mathematica
Spectrum of the quantized Weyl algebra. (Spectre de l'algèbre de Weyl quantique.)
Rigal, Laurent (1996)
Beiträge zur Algebra und Geometrie
Split-null extensions of strongly right bounded rings.
Gary F. Birkenmeier (1990)
Publicacions Matemàtiques
A ring is said to be strongly right bounded if every nonzero right ideal contains a nonzero ideal. In this paper strongly right bounded rings are characterized, conditions are determined which ensure that the split-null (or trivial) extension of a ring is strongly right bounded, and we characterize strongly right bounded right quasi-continuous split-null extensions of a left faithful ideal over a semiprime ring. This last result partially generalizes a result of C. Faith concerning split-null extensions...
Structures of fuzzy ideals of -ring.
Dutta, T.K., Chanda, T. (2005)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
Sur la décomposition en éléments primaires dans les T-algèbres
Alain Bigard (1963/1964)
Séminaire Dubreil. Algèbre et théorie des nombres
Tauvel's height formula in iterated differential operator rings.
Guédénon, Thomas (2004)
Beiträge zur Algebra und Geometrie
The group of automorphisms of the coordinate ring of quantum symplectic space.
Gómez-Torrecillas, J., El Kaoutit, L. (2002)
Beiträge zur Algebra und Geometrie
The Prime Spectrum of the Enveloping Algebra of a Reductive Lie Algebra.
Wolfgang Soergel (1990)
Mathematische Zeitschrift
The Structure of *-simple Involution Rings with Minimal *-Biideals
Aburawash, A. (1992)
Beiträge zur Algebra und Geometrie = Contributions to algebra and geometry
Transparent rings and their extensions.
Bhat, Vijay Kumar (2009)
The New York Journal of Mathematics [electronic only]
Two-sided essential nilpotence.
Eslami, Esfandiar, Stewart, Patrick (1992)
International Journal of Mathematics and Mathematical Sciences
-semisimple rings.
Boulagouaz, M., Oukhtite, L. (2001)
Beiträge zur Algebra und Geometrie
-generated uniserial modules over chain rings
Jan Žemlička (2004)
Commentationes Mathematicae Universitatis Carolinae
The purpose of this paper is to provide a criterion of an occurrence of uncountably generated uniserial modules over chain rings. As we show it suffices to investigate two extreme cases, nearly simple chain rings, i.e. chain rings containing only three two-sided ideals, and chain rings with “many” two-sided ideals. We prove that there exists an -generated uniserial module over every non-artinian nearly simple chain ring and over chain rings containing an uncountable strictly increasing (resp. decreasing)...