smarandache loops - w kandasamy
smarandache loops - w. kandasamy
... 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 i...
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 ... As our main motivation for writing this book is to obtain all possible
Smarandache analogous in ring we want to see how the collection of Smarandache
ideals and Smarandache subrings look l...
groupoids. and smarandache groupoids - w. kandasamy
...
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...
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
)...
smarandache near-rings - w. kandasamy
... 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...
smarandache semirings, semifields,semi vector spaces - w. kandasamy
... Semirings 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, ... 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...
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 ....
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}....
Bài giảng Cấu trúc DK & Loops
... truc DK va Vong lap
38
38
Cấu trúc WHILE
VÒNG LẶP WHILE
Cấu trúc logic
DO WHILE (OP1<OP2)
<STATEMENT1>
<STATEMENT2>
ENDDO
HIỆN THỰC BẰNG ASM
DO_WHILE :
CMP OP1, OP2
JNL ENDDO
... WHILE
có lồng IF
VÒNG LẶP WHILE CÓ LỒNG IF
Cấu trúc logic
DO WHILE (OP1<OP2)
<STATEMENT>
IF (OP2=OP3) THEN
<STATEMENT2>
<STATEMENT3>
ENDIF
ENDDO
HIỆN THỰC BẰNG ASM
_WHILE...