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19932026
most citedDynamical decoupling and noise spectroscopy with a superconducting flux qubit

880 citations

Showing 2016 · math.ACShow all

7 papers · 2 filters

math.AC2016

Zaks' conjecture on rings with semi-regular proper homomorphic images

K. Adarbeh, S. Kabbaj

In this paper, we prove an extension of Zaks' conjecture on integral domains with semi-regular proper homomorphic images (with respect to finitely generated ideals) to arbitrary ri…

math.AC2016★ 3 cited

Matlis' semi-regularity in trivial ring extensions issued from integral domains

K. Adarbeh, S. Kabbaj

This paper contributes to the study of homological aspects of trivial ring extensions (also called Nagata idealizations). Namely, we investigate the transfer of the notion of (Matl…

math.AC2016

t-Reductions and t-integral closure of ideals

S. Kabbaj, A. Kadri

Let R be an integral domain and I a nonzero ideal of R. A sub-ideal J of I is a t-reduction of I if (JI^{n})_{t}=(I^{n+1})_{t} for some positive integer n. An element x in R is t-i…

math.AC2016★ 1 cited

Star-reductions of ideals and Prufer v-multiplication domains

E. Houston, S. Kabbaj, A. Miomouni

Let R be a commutative ring and I an ideal of R. A sub-ideal J of I is a reduction of I if JI^n = I^n+1 for some positive integer n. The ring R has the (finite) basic ideal propert…

math.AC2016

Integral domains with Boolean t-Class semigroup

S. Kabbaj, A. Mimouni

The t-class semigroup of an integral domain is the semigroup of the isomorphy classes of the t-ideals with the operation induced by t-multiplication. This paper investigates integr…

math.AC2016

Prufer conditions in an amalgamated duplication of a ring along an ideal

M. Chhiti, M. Jarrar, S. Kabbaj +1

This paper investigates ideal-theoretic as well as homological extensions of the Prufer domain concept to commutative rings with zero divisors in an amalgamated duplication of a ri…

math.AC2016

Dimension theory of tensor products of AF-rings

S. Kabbaj

AF-rings are algebras over a field k which satisfy the Altitude Formula over k. This paper surveys a few works in the literature on the Krull and valuative dimensions of tensor pro…