منابع مشابه
Ideals, radicals, and structure of additive categories
Simple and semisimple additive categories are studied. We prove, for example, that an artinian additive category is (semi)simple iff it is Morita equivalent to a division ring(oid). Semiprimitive additive categories (that is, those with zero radical) are those which admit a noether full, faithful functor into a category of modules over a division ringoid. Mathematics Subject Classifications (19...
متن کامل) radicals
We report on the production of a pulsed molecular beam of metastable NH (a 1∆) radicals and present first results on the Stark deceleration of the NH (a 1∆, J = 2,MΩ = −4) radicals from 550 m/s to 330 m/s. The decelerated molecules are excited on the spin-forbidden A 3Π ← a 1∆ transition, and detected via their subsequent spontaneous fluorescence to the X 3Σ−, v” = 0 ground-state. These experim...
متن کاملThe secondary radicals of submodules
Let $R$ be a commutative ring with identity and let $M$ be an $R$-module. In this paper, we will introduce the secondary radical of a submodule $N$ of $M$ as the sum of all secondary submodules of $M$ contained in $N$, denoted by $sec^*(N)$, and explore the related properties. We will show that this class of modules contains the family of second radicals properly and can be regarded as a dual o...
متن کاملSemi-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 کاملContinued Radicals
and consider continued radicals of form limn→∞ Sn = √ a1, a2, a3, . . . . Convergence criteria for continued radicals are given in [2], and [3]. We consider the sets S(M) of real numbers which are representable as a continued radical whose terms a1, a2, . . . are all from a finite set M = {m1,m2, . . . ,mp} ⊆ N where 0 < m1 < m2 < · · · < mp. For any nonnegative number n, √ n, n, n, . . . conve...
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ژورنال
عنوان ژورنال: Czechoslovak Mathematical Journal
سال: 1989
ISSN: 0011-4642,1572-9141
DOI: 10.21136/cmj.1989.102342