Báo cáo toán học: "New Characterizations and Generalizations of PP Rings" ppt

... general. For example, let R = Z/4Z, and note that R has exactly New Characterizations and Generalizations of PP Rings 103 J -PP ring is right PS. Proof. If aR is simple and (aR) 2 =0,thenaR = eR for ... New Characterizations and Generalizations of PP Rings 101 Since K and E(L)areP -injective, so is H by (6). Note that E(L)/L is P - injective by (6). Thus (6) ⇒ (2)...

Ngày tải lên: 06/08/2014, 05:20

Ngày tải lên: 05/08/2014, 09:46

Ngày tải lên: 05/08/2014, 15:20

Ngày tải lên: 05/08/2014, 15:20

... polynomials ex- panded in terms of the monomial basis. The top row of such a matrix is a list of monomial functions, the entries of the sub-diagonal are of the form −(rα + s), with r and s ∈ N + , ... space of N-variable sym- metric polynomials. Here we give a matrix of which the determinant is J λ [x; α] expanded in terms of the monomial basis. The top row of this matrix...

Ngày tải lên: 07/08/2014, 06:20

... to construct family of 3-designs, one of them is to use codewords of some particular codes over Z 4 . For example, see [5], [6], [10] and [11]. For the list of known families of 3-designs, see ... F q [x]. As an application, we construct new infinite families of 3-designs. 1 Introduction A t − (v, k, λ) design is a pair (X, B) where X is a v-element set of points and B is a c...

Ngày tải lên: 07/08/2014, 15:22

... case of previous constructions. Our construction works with all (not too small) values of k, and not only with sporadic large k’s as, say [11], and we approach the upper–boundary value of 6 with ... vertex of F 1 . These both preserve simplicity and 3-connectivity of F 1 , and can be used to eventually construct a proper 13-belt graph from F 1 .   Figure 7: Details of si...

Ngày tải lên: 07/08/2014, 21:20

... extension of the decomposition of derangements given by Kim and Zeng [11] in their combinatorial proof of (1.3). Combinatorial Proof of Theorem 3.3. First, we give an outline of the proof of Kim and Zeng ... proof turns out to be an application of the following theorem of Zhang [18]. the electronic journal of combinatorics 16(2) (2009), #R15 9 It follows that the number...

Ngày tải lên: 08/08/2014, 01:20

... position. Spatial distribution of MAR 503 Figure 2. Vertical variation of the mean and standard deviation of reflectance and trans- mittance of a leaf in PAR and Far Red domains. Calculations ... distribution of MAR 509 (figure 7b). In sunflecks, measured and simulated blue transmittance ranged between 0.47 and 0.85 and between 0.56 and 0.76, respectively. Horizontal...

Ngày tải lên: 08/08/2014, 14:22

... commodity δ i out of a finite set Γ of commodities, and then distribute only go ods of this commodity to the participants in N i , one good for each of the participants. The number of goods of each commodity ... N j and γ = δ j and j  i} | – the number of goods of the com- modity γ ∈ Γ given to the par ticipant π ∈ Π in the first i rounds. We will omit the subscripts and...

Ngày tải lên: 08/08/2014, 14:23