A Note on Amalgamated Rings Along an Ideal

Author:

Nowakowska Marta1

Affiliation:

1. Institute of Mathematics , University of Silesia in Katowice , Bankowa 14, 40-007 Katowice , Poland

Abstract

Abstract Ring properties of amalgamated products are investigated. We offer new, elementary arguments which extend results from [5] and [12] to non-commutative setting and also give new properties of amalgamated rings.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Reference14 articles.

1. [1] D.D. Anderson, Commutative rings, in: J.W. Brewer et al. (Eds.), Multiplicative Ideal Theory in Commutative Algebra. A Tribute to the Work of Robert Gilmer, Springer, New York, 2006, pp. 1–20.

2. [2] M. Chhiti and N. Mahdou, Some homological properties of amalgamated duplication of a ring along an ideal, Bull. Iranian Math. Soc. 38 (2012), no. 2, 507–515.

3. [3] M. Chhiti, N. Mahdou, and M. Tamekkante, Clean property in amalgamated algebras along an ideal, Hacet. J. Math. Stat. 44 (2015), no. 1, 41–49.

4. [4] M. D’Anna, A construction of Gorenstein rings, J. Algebra 306 (2006), no. 2, 507–519.

5. [5] M. D’Anna, C.A. Finocchiaro, and M. Fontana, Amalgamated algebras along an ideal, in: M. Fontana et al. (Eds.), Commutative Algebra and its Applications, Walter de Gruyter, Berlin, 2009, pp. 155–172.

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