Periodica Mathematica Hungarica
Volume/Issue:
Volume 59: Issue 1
On ideals of triangular matrix rings
Authors:
Johan Meyer University of the Free State Department of Mathematics and Applied Mathematics PO Box 339 Bloemfontein 9300 South Africa

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Jenő Szigeti University of Miskolc Institute of Mathematics Miskolc H-3515 Hungary

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, and
Leon van Wyk Stellenbosch University Department of Mathematical Sciences P/Bag X1 Matieland 7602 Stellenbosch South Africa

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Pages:
109–115
Online Publication Date:
17 Sep 2009
Publication Date:
01 Sep 2009
Article Category:
Research Article
DOI:
https://doi.org/10.1007/s10998-009-9109-y
Keywords:
16S50; triangular matrix ring; structural matrix ring; Catalan number
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Abstract  

We provide a formula for the number of ideals of complete block-triangular matrix rings over any ring R such that the lattice of ideals of R is isomorphic to a finite product of finite chains, as well as for the number of ideals of (not necessarily complete) block-triangular matrix rings over any such ring R with three blocks on the diagonal.

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Cover Periodica Mathematica Hungarica
Periodica Mathematica Hungarica
Print ISSN:
0031-5303
Online ISSN:
1588-2829

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Periodica Mathematica Hungarica
Language English
Size B5
Year of
Foundation		 1971
Volumes
per Year		 2
Issues
per Year		 4
Founder Bolyai János Matematikai Társulat - János Bolyai Mathematical Society
Founder's
Address		 H-1055 Budapest, Hungary Falk Miksa u. 12.I/4.
Publisher Akadémiai Kiadó
Springer Nature Switzerland AG
Publisher's
Address		 H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible
Publisher		 Chief Executive Officer, Akadémiai Kiadó
ISSN 0031-5303 (Print)
ISSN 1588-2829 (Online)

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