| Title:
|
Medial rings and an associated radical (English) |
| Author:
|
Birkenmeier, Gary |
| Author:
|
Heatherly, Henry |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
40 |
| Issue:
|
2 |
| Year:
|
1990 |
| Pages:
|
258-283 |
| . |
| Category:
|
math |
| . |
| MSC:
|
16D30 |
| MSC:
|
16D60 |
| MSC:
|
16N80 |
| idZBL:
|
Zbl 0732.16011 |
| idMR:
|
MR1046293 |
| DOI:
|
10.21136/CMJ.1990.102379 |
| . |
| Date available:
|
2008-06-09T15:32:45Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102379 |
| . |
| Reference:
|
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| Reference:
|
[2] G.Birkenmeier, H.Heatherly: Embeddings of strongly right bounded rings and algebras.Comm. Algebra 17 (1989), 573-586. Zbl 0678.16024, MR 0981472, 10.1080/00927878908823746 |
| Reference:
|
[3] G. Birkhoff: Subdirect unions in universal algebra.Bull. Amer. Math. Soc., 50 (1944), 764-768. Zbl 0060.05809, MR 0010542, 10.1090/S0002-9904-1944-08235-9 |
| Reference:
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[4] A. Cherubini, A. Varisco: Permutable duo semigroups.Semigroup Forum 28 (1984), 155-172. Zbl 0524.20040, MR 0729661, 10.1007/BF02572482 |
| Reference:
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[5] J. L. Chrislock: On medial semigroups.J. Algebra 12 (1969), 1 - 9. Zbl 0187.29102, MR 0237685, 10.1016/0021-8693(69)90013-1 |
| Reference:
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[6] A. H. Clifford, G. B. Preston: Algebraic Theory of Semigroups, vol. I.Amer. Math. Soc., Providence, 1961. Zbl 0111.03403, MR 0132791 |
| Reference:
|
[7] J. Covington: Medial Rings.M. S. Thesis, University of Southwestern Louisiana, Lafayette, 1987. |
| Reference:
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[8] N. Divinsky: Commutative subdirectiy irreducible rings.Proc. Amer. Math. Soc., 8 (1957), 642-648, MR 0086799, 10.1090/S0002-9939-1957-0086799-X |
| Reference:
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[9] N. Divinsky: Rings and Radicals.Univ. Toronto Press, 1965. Zbl 0138.26303, MR 0197489 |
| Reference:
|
[10] I. Herstein: Noncommutative Rings.Math. Assoc. Amer., Carus Mon. No. 15, 1968. Zbl 0177.05801 |
| Reference:
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[11] P. M. Higgins: The determination of all varieties consisting of absolutely closed semigroups.Proc. Amer. Math. Soc., 87 (1983), 419-421. Zbl 0507.20025, MR 0684630, 10.1090/S0002-9939-1983-0684630-8 |
| Reference:
|
[12] N. Jacobson: Structure of Rings.Amer. Math. Soc. CoUoq. Publ. v. 37, Providence, 1968. |
| Reference:
|
[13] J. Ježek, T. Kepka: Medial Groupoids.Rozpravy ČSAV, Řada mat. a přír. věd 93|2 (1983), Academia, Praha. MR 0734873 |
| Reference:
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[14] J. Ježek, T. Kepka: Permutable groupoids.Czech. Math. J., 34 (1984), 396-410. MR 0761422 |
| Reference:
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[15] I. Kaplansky: Commutative Rings.Allyn and Bacon, Boston, 1970. Zbl 0203.34601, MR 0254021 |
| Reference:
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[16] A. Kertész (ed.): Rings.Modules and Radicals, Colloquia Math. Soc. János Bolyai, 6, North-Holland, Amsterdam-London, 1973. MR 0340306 |
| Reference:
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[17] R. Kruse, D. Price: Nilprotent Rings.Gordon and Breach, New York, 1969. MR 0266956 |
| Reference:
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[18] N. McCoy: Subdirectiy irreducible commutative rings.Duke Math. J., 12 (1945), 381-387. MR 0012266, 10.1215/S0012-7094-45-01232-4 |
| Reference:
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[19] T. E. Nordahl: Medial Semigroup.Ph. D. dissertation, U. Cal., Davis, 1974. |
| Reference:
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[20] T. E. Nordahl: Bands of power joined semigroups.Semigroup Forum 12 (1976), 299-311. Zbl 0377.20048, MR 0414754, 10.1007/BF02195937 |
| Reference:
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[21] T. E. Nordahl, H. E. Scheiblich: Projective bands.Algebra Universalis 11 (1980), 139-148. Zbl 0455.20041, MR 0588207, 10.1007/BF02483092 |
| Reference:
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[22] T. E. Nordahl: Finitely generated left commutative semigroups are residually finite.Semigroup Forum28 (1984), 347-354. Zbl 0525.20046, MR 0729674 |
| Reference:
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[23] M. Petrich: Introduction to Semigroups.Charles F. Merrill, Columbus, 1973. Zbl 0321.20037, MR 0393206 |
| Reference:
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[24] F. A. Szász: Radicals of Rings.John Wiley & Sons, New York, 1981. MR 0636787 |
| Reference:
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[25] T. Tamura: The study of closets and free contents related to semilattice decomposition of semigroups.Proc. Symp. Semigroups, Wayne St. U. 1968, K. W. Folley (ed.), 221 - 260. MR 0306378 |
| Reference:
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[26] A. D. Wallace: Recent results on binary topological algebra.Proc. Symp. Semigroups, Wayne St. U. 1968, K. W. Folley (ed), 261-267. MR 0263968 |
| . |
