Pieśń Anny, matki Samuela (I Sm 2, 1–10)

PHQ 110: Mecanique I

2-absorbing $I$-prime and 2-absorbing $I$-second submodules

Let $R$ be a commutative ring and let $I$ be an ideal of $R$. In this paper, we will introduce the notions of 2-absorbing $I$-prime and 2-absorbing $I$-second submodules of an $R$-module $M$ as a generalization of 2-absorbing and strongly 2-absorbing second submodules of $M$ and explore some basic properties of these classes of modules.

Math 110: Linear Algebra Practice Midterm #2

∗Note The theorems in sections 5.1 and 5.2 each have two versions, one stated in terms of linear operators, one in terms of matrices. The book states most of them in terms of linear operators, whilst in the lecture notes, they are mostly stated in terms of matrices. For example, compare Theorem 5.5 and its corollary in the book with Theorem 5 and its corollary in the lecture notes; also compare...

Order-disorder transformations in Sm–Co and Sm–Co–ZrC systems with 2-17 stoichiometry

Detection performances in the A SM ( I ) OBD - CoCo - 05

This document summarises the current capabilities of the on-board detection algorithms (GD 1.4.1 and SWA 2.4) in the ASM. The performances in terms of detection and precision have been evaluated on single and double stars and will be used for subsequent improvements of the algorithms. The detection algorithms have been described in [1]. Two approaches are currently followed: in summary the GD a...