When Is a Group Algebra Antimatter?

Mohamed Benelmekki and Said El Baghdadi ()
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Mohamed Benelmekki: Beni Mellal University, Department of Mathematics, Faculté des Sciences et Techniques
Said El Baghdadi: Beni Mellal University, Department of Mathematics, Faculté des Sciences et Techniques

A chapter in Algebraic, Number Theoretic, and Topological Aspects of Ring Theory, 2023, pp 87-98 from Springer

Abstract: Abstract An integral domain with no atoms is called an antimatter domain. Let K be a field and G a torsion-free abelian group. In this paper, we characterize the antimatter property for group algebra K [ G ] = { ∑ i a i X g i | a i ∈ K and g i ∈ G } $$K[G]=\lbrace \sum _i a_iX^{g_i}|a_i\in K \mbox{ and } g_i\in G\rbrace $$ .

Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-28847-0_6

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DOI: 10.1007/978-3-031-28847-0_6

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