Ajet ahmeti biography of martin
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International Journal of Algebra, 2013
For a given simplicial complex K, we give a construction of a weak (4,2)-chain complex wC(K), of ... more For a given simplicial complex K, we give a construction of a weak (4,2)-chain complex wC(K), of commutative (4,2)-groups. Using wC(K), we produce three chain complexes C 2 (K), C + (K) and C * (K) of abelian groups with homology groups H n,2 (K), H n,+ (K) and H n,* (K).
Civil Engineering Journal
Today, the region in general but also Kosovo faces a lack of electricity on the one hand and envi... more Today, the region in general but also Kosovo faces a lack of electricity on the one hand and environmental pollution on the other hand from existing power plants where electricity is produced for the community in general in thermo-plants Kosovo A and Kosovo B. The purpose and importance of this paper is that for the samples taken through the layers (floors) of coal by drilling to extract the calorific values of coal (ETU) and the percentage of ash, whose parameters were analysed in the laboratory of geo-mechanics according to the standards (ISO 9001) in order to eliminate the weak part of coal that would have a positive impact on increasing electricity production but also on reducing environmental pollution within the allowed values according to European Union standards. To carry out this work, a large number of drillings were performed from which 91 samples were taken at different depths, these samples were analysed and, at the same time, statistical processing was done in order to...
Prilozi: Makedonska Akdemija na Naukite i Umetnostite. Oddelenie za Prirodno-matematički i Biotehnički Nauki, Mar 28, 2017
We consider (4,2)-chain homotopy for (4,2)-chain maps between (4,2)-chain complexes (weak or stro... more We consider (4,2)-chain homotopy for (4,2)-chain maps between (4,2)-chain complexes (weak or strong), and prove that if f and g are (4,2)-chain homotopic, then they induce the same homomorphisms on the (4,2)-homology groups for the correspondent (4,2)-chain complexes.
International Journal of Algebra, 2013
For a given simplicial complex K, we give a construction of a weak (4,2)-chain complex wC(K), of ... more For a given simplicial complex K, we give a construction of a weak (4,2)-chain complex wC(K), of commutative (4,2)-groups. Using wC(K), we produce three chain complexes C 2 (K), C + (K) and C * (K) of abelian groups with homology groups H n,2 (K), H n,+ (K) and H n,* (K).
The notions of (4,2)-chain complexes and (4,2)-chain homology groups were introduced and examined... more The notions of (4,2)-chain complexes and (4,2)-chain homology groups were introduced and examined in [5]. In this paper we consider a notion of a (4,2)-chain homotopy, analogouos to the usual notion of a chain homotopy for chain complexes. Although the introduced notion of a (4,2)-chain homotopy, in general, does not behave in the same way as the usual chain homotopy (for example, the relation among (4,2)-chain maps defined by (4,2)chain homotopies is not an equivalence), it produces the same results on the (4,2)-homology groups. For the usual notions about chain complexes of Abelian groups, chain homotopy and homology groups we refer to [4]. We recall the basic notions and properties about (4,2)-groups and (4,2)-chain complexes from [1], [2], [3] and [5]. 1 A (4,2)-semigroup is a pair (G,[ ]), where G is a nonempty set and [ ]: G G is a (4,2)operation, such that for any x,y,z,t,u,v G, [[xyzt]uv] = [x[yztu]v] = [xy[ztuv]], i.e. [ ] is (4,2)-associative. Since the (4,2)-operation...
International Journal of Algebra, 2013
For a given simplicial complex K, we give a construction of a weak (4,2)-chain complex wC(K), of ... more For a given simplicial complex K, we give a construction of a weak (4,2)-chain complex wC(K), of commutative (4,2)-groups. Using wC(K), we produce three chain complexes C 2 (K), C + (K) and C * (K) of abelian groups with homology groups H n,2 (K), H n,+ (K) and H n,* (K).
Civil Engineering Journal
Today, the region in general but also Kosovo faces a lack of electricity on the one hand and envi... more Today, the region in general but also Kosovo faces a lack of electricity on the one hand and environmental pollution on the other hand from existing power plants where electricity is produced for the community in general in thermo-plants Kosovo A and Kosovo B. The purpose and importance of this paper is that for the samples taken through the layers (floors) of coal by drilling to extract the calorific values of coal (ETU) and the percentage of ash, whose parameters were analysed in the laboratory of geo-mechanics according to the standards (ISO 9001) in order to eliminate the weak part of coal that would have a positive impact on increasing electricity production but also on reducing environmental pollution within the allowed values according to European Union standards. To carry out this work, a large number of drillings were performed from which 91 samples were taken at different depths, these samples were analysed and, at the same time, statistical processing was done in order to...
Prilozi: Makedonska Akdemija na Naukite i Umetnostite. Oddelenie za Prirodno-matematički i Biotehnički Nauki, Mar 28, 2017
We consider (4,2)-chain homotopy for (4,2)-chain maps between (4,2)-chain complexes (weak or stro... more We consider (4,2)-chain homotopy for (4,2)-chain maps between (4,2)-chain complexes (weak or strong), and prove that if f and g are (4,2)-chain homotopic, then they induce the same homomorphisms on the (4,2)-homology groups for the correspondent (4,2)-chain complexes.
International Journal of Algebra, 2013
For a given simplicial complex K, we give a construction of a weak (4,2)-chain complex wC(K), of ... more For a given simplicial complex K, we give a construction of a weak (4,2)-chain complex wC(K), of commutative (4,2)-groups. Using wC(K), we produce three chain complexes C 2 (K), C + (K) and C * (K) of abelian groups with homology groups H n,2 (K), H n,+ (K) and H n,* (K).
The notions of (4,2)-chain complexes and (4,2)-chain homology groups were introduced and examined... more The notions of (4,2)-chain complexes and (4,2)-chain homology groups were introduced and examined in [5]. In this paper we consider a notion of a (4,2)-chain homotopy, analogouos to the usual notion of a chain homotopy for chain complexes. Although the introduced notion of a (4,2)-chain homotopy, in general, does not behave in the same way as the usual chain homotopy (for example, the relation among (4,2)-chain maps defined by (4,2)chain homotopies is not an equivalence), it produces the same results on the (4,2)-homology groups. For the usual notions about chain complexes of Abelian groups, chain homotopy and homology groups we refer to [4]. We recall the basic notions and properties about (4,2)-groups and (4,2)-chain complexes from [1], [2], [3] and [5]. 1 A (4,2)-semigroup is a pair (G,[ ]), where G is a nonempty set and [ ]: G G is a (4,2)operation, such that for any x,y,z,t,u,v G, [[xyzt]uv] = [x[yztu]v] = [xy[ztuv]], i.e. [ ] is (4,2)-associative. Since the (4,2)-operation...