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On the inverse operations in the class of preradicals of a module category, I
Authors: Ion Jardan
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Abstract
In the class $\,\mathbb P \mathbb R\,$ of preradicals of the category of left $R$-modules $R$-Mod a new operation is defined and studied, namely the left quotient with respect to join. Some properties of this operation are shown, its compatibility with the lattice operations of $\,\mathbb P \mathbb R\,$ (meet and join of preradicals), as well as the relations with some constructions in the "big" lattice $\,\mathbb P \mathbb R\,$. Also some particular cases are examined.Technical University of Moldova
Institute of Mathematics and Computer Science
Academy of Sciences of Moldova
E-mail:
Institute of Mathematics and Computer Science
Academy of Sciences of Moldova
E-mail:
Fulltext
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Contents
- Regular, Intra-regular and Duo Γ-Semirings
- Some Properties of Meromorphic Solutions of Logarithmic Order to Higher Order Linear Difference Equations
- Forbidden Set of the Rational Difference Equation xn+1 = xnxn-k/(axn-k+1 + xnxn-k+1xn-k)
- A New Characterization of Curves in Euclidean 4-Space $\mathbb{E}^{4}$
- Solvability of the boundary value problem for the equation of transition processes in semiconductors with a fractional time derivative
- On the inverse operations in the class of preradicals of a module category, I
- Some Homomorphic Properties of Multigroups
- Stochastic Games on Markov Processes with Final Sequence of States
- Application of the Fast Automatic Differentiation for Calculation of Gradients of Material's Bulk Modulus and Shear Modulus
