General Dorroh Extensions

Alhribat, I; Jara, P; Marquez, I

dc.contributor.author	Alhribat, I
dc.contributor.author	Jara, P
dc.contributor.author	Marquez, I
dc.date.accessioned	2020-11-29T06:48:54Z
dc.date.accessioned	2022-05-22T08:52:09Z
dc.date.available	2020-11-29T06:48:54Z
dc.date.available	2022-05-22T08:52:09Z
dc.date.issued	2015-03-05
dc.identifier.citation	Alhribat, I.; Jara, P.; Márquez, I. General Dorroh Extensions. Missouri J. Math. Sci. 27 (2015), no. 1, 64--70. doi:10.35834/mjms/1449161368. https://projecteuclid.org/euclid.mjms/1449161368	en_US
dc.identifier.uri	http://localhost:8080/xmlui/handle/123456789/8059
dc.description.abstract	In a recent paper G. A. Cannon and K. M. Neuerburg point out that if A = Z and B is an arbitrary ring with unity, then ZB, the Dorroh extension of B, is isomorphic to the direct product Z×B. Thus, the ideal structure of ZB can be completely described. The aim of this note is to point out that this result may be extended to any pair (A,B) in which B is an A–algebra with unity, and to study the construction of extensions of algebras without zero divisors and heir behavior with respect to algebra maps.	en_US
dc.description.sponsorship	MTM2007-66666 and FQM-266.	en_US
dc.language.iso	en	en_US
dc.publisher	Missouri Journal of Mathematical Sciences	en_US
dc.subject	ring , algebra, Dorroh extension , Szendrei extension	en_US
dc.subject	ring, Algebra, Dorroh extension, Szendrei extension	en_US
dc.title	General Dorroh Extensions	en_US
dc.type	Article	en_US