Primary TL-submodules and P-primary TL-submodules

✍ Scribed by Zhudeng Wang

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 683 KB
• Volume: 88
• Category: Article
• ISSN: 0165-0114
• DOI: 10.1016/s0165-0114(96)00055-3

✦ Synopsis

In this paper, we introduce the concepts of primary TL-submodules and P-primary TL-submodules of M, where M is a module (i.e., left module) over a given commutative ring with identity and T an arbitrary infinitely V-distributive t-norm on a given complete Brouwerian lattice L. We also give complete characterization of primary TL-submodules and study the primary decomposition of TL-submodules. (~ 1997 Elsevier Science B.V.