Advanced search
Publication Cover
Communications in Algebra Volume 29, 2001 - Issue 8
Submit an article Journal homepage
32
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

SUBDIRECTLY IRREDUCIBLE LEFT SELF DISTRIBUTIVELY GENERATED ALGEBRAS

Gary F. Birkenmeier Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA, 70504, U.S.A.
,
Henry E. Heatherly Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA, 70504, U.S.A.
&
John A. Lewallen Department of Mathematics, Southeastern Louisiana University, Hammond, LA, 70402, U.S.A.
Pages 3257-3273 | Received 01 Jul 1999, Published online: 20 Aug 2006

REFERENCES

  • Birkenmeier , G. F. and Heatherly , H. E. 1998 . “ Self Distributively Generated Algebras ” . In Contributions in General Algebra Edited by: Dorninger , D. , Eigenthaler , G. , Kaiser , H. K. , Kautschitsch , H. , More , W. and Mueller , W. B. Vol. 10 , 79 – 87 . Klagenfurt : Verlag Johannes Heyn .
  • Birkenmeier , G. F. and Heatherly , H. E. 2000 . Left Self Distributively Generated Algebras . Comm. Algebra , 28 : 217 – 236 .
  • McCoy , N. H. 1945 . Subdirectly Irreducible Commutative Rings . Duke Math. J. , 12 : 381 – 387 .
  • Divinsky , N. 1957 . Commutative Subdirectly Irreducible Rings . Proc. Amer. Math. Soc. , 8 : 642 – 648 .
  • Hill , P. 1973 . The Additive Group of Commutative Rings Generated by Idempotents . Proc. Amer. Math. Soc. , 38 : 499 – 502 .
  • Maxson , C. J. 1976 . Idempotent Generated Algebras and Boolean Pairs . Fund. Math. , 93 : 15 – 22 .
  • Birkenmeier , G. F. 1983 . Idempotents and Completely Semiprime Ideals . Comm. Algebra , 11 : 567 – 580 .
  • Birkenmeier , G. F. , Heatherly , H. E. , Kim , J. Y. and Park , J. K. in press . Algebras Generated by Semicentral Idempotents . Acta Math. Hung. ,
  • Birkenmeier , G. F. and Heatherly , H. E. 1990 . Rings Whose Additive Endomorphisms are Ring Endomorphisms . Bull. Austral. Math. Soc. , 42 : 145 – 152 .
  • Birkenmeier , G. F. and Cho , Y. U. 1998 . Additive Endomorphisms Generated by Ring Endomorphisms . East-West J. Math. , 1 : 73 – 84 .
  • Birkenmeier , G. F. , Heatherly , H. E. and Kepka , T. 1992 . Rings with Left Self Distributive Multiplication . Acta Math. Hung. , 60 : 107 – 114 .
  • Kepka , T. 1984 . Varieties of Left Distributive Semigroups . Acta Univ. Carolinae-Math et Phys. , 25 : 3 – 18 .
  • Birkhoff , G. 1944 . Subdirect Unions in Universal Algebra . Bull. Amer. Math. Soc. , 50 : 764 – 768 .
  • Moore , H. G. 1969 . Subdirectly Irreducible Rings – Some Pathology . Bull. Austral. Math. Soc. , 1 : 353 – 355 .
  • Stewart , P. N. 1970 . Semi-Simple Radical Classes . Pacific J. Math. , 32 : 249 – 255 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.