Some conditions for finiteness and commutativity of rings
We present several new sufficient conditions for a ring to be finite; we give two conditions which for periodic rings R imply that R must be either finite or commutative; and we study commutativity in rings with only finitely many non-central subrings.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1990-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171290000771 |
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| _version_ | 1849304726354526208 |
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| author | Howard E. Bell Franco Guerriero |
| author_facet | Howard E. Bell Franco Guerriero |
| author_sort | Howard E. Bell |
| collection | DOAJ |
| description | We present several new sufficient conditions for a ring to be finite; we give two conditions which for periodic rings R imply that R must be either finite or commutative; and we study commutativity in rings with only finitely many non-central subrings. |
| format | Article |
| id | doaj-art-3d96af0b8a0340ed8a4d38d043078adf |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1990-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-3d96af0b8a0340ed8a4d38d043078adf2025-08-20T03:55:40ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251990-01-0113353554410.1155/S0161171290000771Some conditions for finiteness and commutativity of ringsHoward E. Bell0Franco Guerriero1Department of Mathematics, Brock University, Ontario, St. Catharines L2S 3A1, CanadaDepartment of Mathematics, Brock University, Ontario, St. Catharines L2S 3A1, CanadaWe present several new sufficient conditions for a ring to be finite; we give two conditions which for periodic rings R imply that R must be either finite or commutative; and we study commutativity in rings with only finitely many non-central subrings.http://dx.doi.org/10.1155/S0161171290000771finiteness of ringsperiodic ringscommutativity. |
| spellingShingle | Howard E. Bell Franco Guerriero Some conditions for finiteness and commutativity of rings International Journal of Mathematics and Mathematical Sciences finiteness of rings periodic rings commutativity. |
| title | Some conditions for finiteness and commutativity of rings |
| title_full | Some conditions for finiteness and commutativity of rings |
| title_fullStr | Some conditions for finiteness and commutativity of rings |
| title_full_unstemmed | Some conditions for finiteness and commutativity of rings |
| title_short | Some conditions for finiteness and commutativity of rings |
| title_sort | some conditions for finiteness and commutativity of rings |
| topic | finiteness of rings periodic rings commutativity. |
| url | http://dx.doi.org/10.1155/S0161171290000771 |
| work_keys_str_mv | AT howardebell someconditionsforfinitenessandcommutativityofrings AT francoguerriero someconditionsforfinitenessandcommutativityofrings |