| Title:
|
Semirings whose additive endomorphisms are multiplicative (English) |
| Author:
|
Kepka, Tomáš |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
34 |
| Issue:
|
2 |
| Year:
|
1993 |
| Pages:
|
213-219 |
| . |
| Category:
|
math |
| . |
| Summary:
|
A ring or an idempotent semiring is associative provided that additive endomorphisms are multiplicative. (English) |
| Keyword:
|
semiring |
| Keyword:
|
additive endomorphism |
| MSC:
|
16U70 |
| MSC:
|
16W20 |
| MSC:
|
16Y60 |
| MSC:
|
17A60 |
| idZBL:
|
Zbl 0787.16029 |
| idMR:
|
MR1241729 |
| . |
| Date available:
|
2009-01-08T18:02:38Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118573 |
| . |
| Reference:
|
[1] Birkenmeier G., Heatherly H.: Rings whose additive endomorphisms are ring endomorphisms.Bull. Austral. Math. Soc. 42 (1990), 145-152. Zbl 0703.16006, MR 1066370 |
| Reference:
|
[2] Dhompongsa S., Sanwong J.: Rings in which additive mappings are multiplicative.Studia Sci. Math. Hungar. 22 (1987), 357-359. Zbl 0647.16028, MR 0932222 |
| Reference:
|
[3] Dugas M., Hausen J., Johnson J.A.: Rings whose additive mappings are multiplicative.Periodica Math. Hungar. 23 (1991), 65-73. |
| Reference:
|
[4] Feigelstock S.: Rings whose additive endomorphisms are multiplicative.Periodica Math. Hungar. 19 (1988), 257-260. Zbl 0671.16016, MR 0984775 |
| Reference:
|
[5] Feigelstock S.: Additive group of rings.Vol. II, Pitman Research Notes in Math., Series 169, Longman Scient. & Techn., New York, 1988. MR 0940015 |
| Reference:
|
[6] Hirano Y.: On rings whose additive endomorphisms are multiplicative.Periodica Math. Hungar. 23 (1991), 87-89. Zbl 0754.16002, MR 1141355 |
| Reference:
|
[7] Ježek J., Kepka T., Němec P.: Distributive groupoids.Rozpravy ČSAV 91/3 (1981). MR 0672563 |
| Reference:
|
[8] Kepka T.: On a class of non-associative rings.Comment. Math. Univ. Carolinae 18 (1977), 265-279. Zbl 0366.17016, MR 0460393 |
| Reference:
|
[9] Kim K.H., Roush F.W.: Additive endomorphisms of rings.Periodica Math. Hungar. 12 (1981), 241-242. Zbl 0451.16014, MR 0642635 |
| Reference:
|
[10] Sullivan R.P.: Research problem no. 23.Periodica Math. Hungar. 8 (1977), 313-314. Zbl 0376.16034 |
| . |
