Projective systemic modules

JOURNAL OF PURE AND APPLIED ALGEBRA

卷:224

Article

Jun, Jaiung¹  Mincheva, Kalina²  Rowen, Louis³ 

[1] SUNY Coll New Paltz, Dept Math, New Paltz, NY 12561 USA

[2] Yale Univ, Dept Math, New Haven, CT 06511 USA

[3] Bar Ilan Univ, Dept Math, IL-52900 Ramat Gan, Israel

关键词: Projective;    System;    Symmetrization;    Supertropical algebra;    Module;    Schanuel's Lemma;   

DOI  :  10.1016/j.jpaa.2019.106243

来源: Elsevier

【 摘 要 】

We develop the basic theory of projective modules and splitting over semirings, within the more general setting of systems. Systems provide a common language for most tropical algebraic approaches including supertropical algebra, hyperrings (specifically hyperfields), and fuzzy rings. This enables us to prove analogues of classical theorems for tropical and hyperring theory in a unified way. In this context we prove a Dual Basis Lemma and versions of Schanuel's Lemma. (C) 2019 Elsevier B.V. All rights reserved.

【 授权许可】

Free