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

... in which for all S-subloops we have the same SSZ(L)? 8. Find loop which has many S-subloops but a unique SN(L). 9. Find a S-loop isomorphism of two loops of order 18 and order 28. 4.3 Smarandache ... have like S- loops several S-nuclei II, S-centre II, S-Moufang centre II but unlike loops which has a unique nucleus, centre, Moufang centre and so on. Now one more question is Sma...

Ngày tải lên: 31/03/2014, 15:06

... 1.4 Smarandache semigroups In this section we introduce the notion of Smarandache semigroups (S -semigroups) and illustrate them with examples. The main aim of this is that we want to ... = 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...

Ngày tải lên: 31/03/2014, 15:06

... Wiley Eastern Limited, (1989). 3. W. B. Vasantha Kandasamy, Smarandache Groupoids, http://www.gallup.unm.edu/ ~smarandache/ Groupoids.pdf W. B. Vasantha Kandasamy Groupoids and Smarandache ... . Now s K = ), ,B ,A ,Z( sssss δλ is the Smarandache Automaton. A machine equipped with this Smarandache Automaton can use any new automaton as per need. We give so...

Ngày tải lên: 31/03/2014, 16:18

... seminear-ring (S-quotient 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 ... subseminear-ring we call N a Smarandache maximal seminear-ring (S-maximal seminear-ring). T HEOREM 6.1.4: If (N, +, .) is a S-maximal seminear-ring then N is a S-seminear- ring. Proo...

Ngày tải lên: 31/03/2014, 15:06

... and Semifields. Smarandache Notions Journal, Vol. 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 ... No. 1, 11 9-1 21, 1998. http://www.gallup.unm.edu/ ~smarandache/ ALG-S-TXT.TXT 28 11. Smarandache, F. Special Algebraic Structures. Collected Papers, Vol. III, Abadda...

Ngày tải lên: 31/03/2014, 15:06

... 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

... 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

Ngày tải lên: 21/08/2012, 16:49

... yếu W 1 W m W 1 O 1 W 1 O h W i O j W m O 1 W m O h W 1 T 1 W 1 T k W i T j W m T 1 W m T k Sinh viên thực hiện: Võ Như Sơn Trà, lớp B15QTH2 Trang -4 - Đề tài: Ứng dụng phân tích ma trận SWOT ... Trà, lớp B15QTH2 Trang -7 - Đề tài: Ứng dụng phân tích ma trận SWOT trong hoạch đònh chiến lược của Maritime Bank Đà Nẵng II. Phân tích ma trận SWOT: 1. Những...

Ngày tải lên: 17/09/2012, 16:49