Unit groups of finite rings with products of zero divisors in their coefficient subrings | Zendy

Chiteng’a John Chikunji | Zendy

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Unit groups of finite rings with products of zero divisors in their coefficient subrings

Author(s) -

Chiteng’a John Chikunji

Publication year - 2014

Publication title -

publications de l institut mathematique

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.246

H-Index - 17

eISSN - 1820-7405

pISSN - 0350-1302

DOI - 10.2298/pim1409215c

Subject(s) - subring , zero divisor , mathematics , zero (linguistics) , commutative ring , unit (ring theory) , pure mathematics , ring (chemistry) , finite group , product (mathematics) , identity (music) , group (periodic table) , commutative property , geometry , physics , chemistry , linguistics , philosophy , mathematics education , organic chemistry , quantum mechanics , acoustics

Let R be a completely primary finite ring with identity 1 6 0 in which the product of any two zero divisors lies in its coefficient subring. We determine the structure of the group of units GR of these rings in the case when R is commutative and in some particular cases, obtain the structure and linearly independent generators of GR.

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