bialgebraic structures - w kandasamy
bialgebraic structures - w. kandasamy
... bigroupoids S-bigroupoids biloops S-biloops binear-rings S-binear-rings birings S-birings bisemigroups S-bisemigroups bisemirings S-bisemigroups bistructures S-bistructures bigroups S-bigroups ... bigroupoids S-bigroupoids biloops S-biloops binear-rings S-binear-rings birings S-birings bisemigroups S-bisemigroups bisemirings S-bisemigroups bistructures S-bistructures bigroups S-bigroups ....
Ngày tải lên: 31/03/2014, 15:02
smarandache loops - w. kandasamy
... the S-subloop II, the centre of the loop L; SSZ(L) = SSC(L) ∩ SSN(L). If L does not have a S-subloop II but L is itself a S-loop II then replace A by L. Now we see in case of S-loop II we can ... for which SS(N) = S(N)? 5. Find a loop of odd order in which SSC(L) = S(C(L) = C(L). 6. Can we have a non-commutative loop L for which SSC(L) is the same for all S- subloop II? 7. Do we have ....
Ngày tải lên: 31/03/2014, 15:06
smarandache near-rings - w. kandasamy
... seminear-ring) of the seminear-ring of N by N / A = {Ax / x ∈ N}. It is not known under what condition N / A will be a near-ring or a S-near-ring or a seminear-ring or a S-seminear-ring. ... D EFINITION 6.1.11: Let (N, +, .) be a S-seminear-ring, we say P is a Smarandache maximal S-subseminear-ring (S-maximal S-subseminear-ring) if there is a S- subseminear-ring M such that P ⊂ M...
Ngày tải lên: 31/03/2014, 15:06
smarandache rings - w. kandasamy
... = a 2 a 1 = 0. We define Smarandache f-rings as follows. D EFINITION 3.10.40 : Let R be a ring. Let A be a S-subring of R. R is said to be a Smarandache f-ring (S-f-ring) if and only ... 1.3 Lattices In this section we mainly introduce the concept of lattices as we have a well known result in ring theory which states that “the set of all two sided ideals of a ring form a ... sem...
Ngày tải lên: 31/03/2014, 15:06
smarandache semirings, semifields,semi vector spaces - w. kandasamy
... 7, 1-2 -3 , 8 8-9 1, 2001. http://www.gallup.unm.edu/~smarandache/SemiRings.pdf 18. Vasantha Kandasamy, W. B. Smarandache Semigroups, American Research Press, Rehoboth, 2002. http://www.gallup.unm.edu/~smarandache/Vasantha-Book1.pdf ... No. 1, 11 9-1 21, 1998. http://www.gallup.unm.edu/~smarandache/ALG-S-TXT.TXT 28 11. Smarandache, F. Special Algebraic Structures. C...
Ngày tải lên: 31/03/2014, 15:06
groupoids. and smarandache groupoids - w. kandasamy
... number theory, Wiley Eastern Limited, (1989). 3. W. B. Vasantha Kandasamy, Smarandache Groupoids, http://www.gallup.unm.edu/~smarandache/Groupoids.pdf W. B. Vasantha Kandasamy Groupoids ... P-groupoid be a Bol-groupoid? Justify your answer? P ROBLEM 6: Does there exist a prime order groupoid, which is non commutative? 2.2 Substructures in Groupoids In this se...
Ngày tải lên: 31/03/2014, 16:18
smarandache semigroups - w. kandasamy
... N(a) in G we claim that x -1 ax ≠ y -1 ay. Were this is not the case, from x -1 ax = y -1 ay, we would deduce that yx -1 a = ayx -1 ; this in turn would imply that yx -1 ∈ N(a). However, this ... (a -1 ) -1 = a. Proof: This simply follows from the fact a -1 • (a -1 ) -1 = e = a -1 • a canceling off the a -1 we get (a -1 )...
Ngày tải lên: 31/03/2014, 16:18
linear algebra and smarandache linear algebra - w. b. vasantha kandasamy
... B t } is an ordered basis for W. 24 We say the sum W = W 1 + … + W t is direct or that W is the direct sum of W 1 , …, W t and we write W = W 1 ⊕ …⊕ W t . This sum is referred to as ... let W = W 1 + … + W t . The following are equivalent: i. W 1 , …, W t are independent. ii. For each j, 2 ≤ j ≤ t we have W j ∩ (W 1 + … + W j–1 ) = {0}....
Ngày tải lên: 31/03/2014, 15:04
STRUCTURES ARBORESCENTES.
... Chapitre 2. Structures Arborescentes Truong My Dung Mail=tmdung@fit.hcmuns.edu.vn 15 CHAPITRE 2. STRUCTURES ARBORESCENTES. 2.1 DEFINITIONS. ... for (i= 1 ; i≤ n ;i++) {d[i] = l(1,i) ; pr[i] :=1 ; Mark[i] :=0 ;} Mark[1] :=1 ; n0 :=n-1 ; WHILE (n0 > 0) { k:= Argmin {d[i] : i∈ M} ; //Remise aø jour d, Pr, M et Mark Mark[k] ... > l[k,i]. Pr[i] = k.} //Supp...
Ngày tải lên: 22/08/2012, 11:31