Radicals of semi-group rings
نویسندگان
چکیده
منابع مشابه
Semi-radicals of Sub modules in Modules
Abstract: Let be a commutative ring and be a unitary module. We define a semiprime submodule of a module and consider various properties of it. Also we define semi-radical of a submodule of a module and give a number of its properties. We define modules which satisfy the semi-radical formula and present the existence of such a module.
متن کاملSEMI-RADICALS OF SUB MODULES IN MODULES
Let be a commutative ring and be a unitary module. We define a semi prime sub module of a module and consider various properties of it. Also we define semi-radical of a sub module of a module and give a number of its properties. We define modules which satisfy the semi-radical formula and present the existence of such a module.
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Let R be a commutative noetherian ring and Γ a finite group. In this paper,we study Gorenstein homological dimensions of modules with respect to a semi-dualizing module over the group ring . It is shown that Gorenstein homological dimensions of an -RΓ module M with respect to a semi-dualizing module, are equal over R and RΓ .
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We generalize a few results of [2, 6, 8] for radical classes of rings for radical classes of seminear-rings by using the construction for radical classes of seminear-rings. AMS Mathematics Subject Classification (2000): 16Y60, 16W50
متن کاملPrime Radicals of Skew Laurent Polynomial Rings
Let R be a ring with an automorphism σ. An ideal I of R is σ-ideal of R if σ(I) = I. A proper ideal P of R is σ-prime ideal of R if P is a σ-ideal of R and for σ-ideals I and J of R, IJ ⊆ P implies that I ⊆ P or J ⊆ P . A proper ideal Q of R is σ-semiprime ideal of Q if Q is a σ-ideal and for a σ-ideal I of R, I2 ⊆ Q implies that I ⊆ Q. The σ-prime radical is defined by the intersection of all ...
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ژورنال
عنوان ژورنال: Fundamenta Mathematicae
سال: 1974
ISSN: 0016-2736,1730-6329
DOI: 10.4064/fm-85-1-57-71