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  • Author: Irina Cristea x
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Irina Cristea

Abstract

In this paper we introduce the notions of regular and strongly regular intuitionistic fuzzy relations on hypergroupoids, studying some related properties and connections with the classical case. Then we investigate the lattice structure of these kinds of intuitionistic fuzzy equivalences.

Open access

Morteza Norouzi and Irina Cristea

Abstract

Based on the concepts of composition ring and composition hyper- ring, in this note we introduce the notion of composition structure for (m, n)-hyperrings and study the connections with composition hy- perrings. Moreover we show that particular strong endomorphisms of (m, n)-hyperrings can determine the composition structure of a such (m, n)-hyperrings. Finally, the three isomorphism theorems are pre- sented in the case of composition (m, n)-hyperrings, showing that they are not a pure extension of those for composition hyperrings.

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Sanja Jančić-Rašović and Irina Cristea

Abstract

This paper is a continuation of our work on hypernear-rings with a defect of distributivity D. In particular, here we introduce and study a new subclass of hypernear-rings, called D-division hypernear-rings, establishing a necessary and sufficient condition such that a hypernear-ring with the defect D is a D-division hypernear-ring. Several properties and examples of these two subclasses of hypernear-rings are presented and discussed.

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Irina Cristea and Sanja Jančić-Rašović

Abstract

In this paper we introduce the notion of composition hyperring. We show that the composition structure of a composition hyperring is determined by a class of its strong multiendomorphisms. Finally, the three isomorphism theorems of ring theory are derived in the context of com- position hyperrings.

Open access

Anca Butiuc-Keul, Cornelia Crăciunaș, Irina Goia, Anca Farkas, Liliana Jarda and Victoria Cristea

Abstract

In order to develop a proper conservation programme for several endangered, rare or endemic species of Dianhtus from Romania, molecular characterization by simple sequence repeat (SSR) markers has been accomplished. Amplification of SSR loci in individuals belonging to different populations of D. callizonus, D. glacialis ssp. gelidus, D. henteri, D. nardiformis and D. tenuifolius revealed 23 polymorphic alleles. D. callizonus and D. tenuifolius showed particular sets of SSR alleles. D. glacialis ssp. gelidus, D. henteri and D. nardiformis proved to share almost the same alleles in most of the loci. The highest genetic diversity was observed in D. glacialis ssp. gelidus and D. tenuifolius in locus MS-DINMADSBOX. Allelic patterns across Dianthus species indicate that the mean number of different alleles was highest in D. glacialis ssp. gelidus, while the number of effective alleles was highest in D. tenuifolius. There are no particular differences in individuals belonging to the same species. Genetic diversity is generally low, ranging from 0.18 (D. callizonus) to 0.44 (D. henteri). Regarding the genetic diversity within populations of the same species, no differences were revealed by the use of the SSR markers tested in the present study.

Open access

Suciu Ioana, B. Dimitriu, C. Varlan, Cotrut Dana, Cristea Diana, Mitran Loredana, M. Mitran, Gheorghiu Irina-Maria and D.M. Iliescu

Abstract

Internal resorption was associated with long-term chronic inflammation of the pulp (chronic granulomatous pulpitis). When internal resorption is radiographically confirmed, endodontic treatment becomes a necessity. Vital teeth internal resorption appears radiographically as an oval enlargement of the pulp chamber and root canal with smooth, symmetrical outline. Internal granuloma is assumed to be an effect of the trauma, or pulp inflammation, the ailment is rare, asymptomatic and might progress rapidly, causing perforation.

It is difficult to remove the pulp tissue from the resorptive defect, since this area is not easily accessible for instrumentation. The delay of the endodontic treatment may lead the internal resorption to perforation, thus decreasing the chances of treatment success.

In the following paper, we present a total of two clinical cases with internal granuloma with perforation that have benefited of specific endodontic treatment.