alpha]] is non-empty

proper subset of X which is [alpha]-closed as well [alpha]-open.

If A(I) does not contain a

proper subset which is a BCI/BCK-algebra, then A(I) is called a pseudo neutrosophic subalgebra of X(I).

A Boolean-near-ring (B, [disjunction], [and]) is having the

proper subset A, is a maximal set with uni-element in an associate ring R, with identity under suitable definitions for (B, +,) with corresponding lattices (A, [less than or equal to])(A, <) and

I would have to say this because you have to have one element from C to be a

proper subset at all.

1) above): (9) the members of each collection include those of the next as the

proper subset (with soldier Brown representing a limiting case of a subset, though not of a collection, since the latter has two members as its limiting case).

in the sense that if h is any function obtained from f by replacing a

proper subset of the variables of f by constants then h is eventually c.

If S is a subset of T, we write S [subset or equal to] T and if S is a

proper subset of T we write S [subset] T.

Provisionally defining a minimal sufficient condition as one which has no sufficient condition as a

proper subset, let us see how this works on a couple of examples.

Let [Omega] be a connected open set in C and E be a relatively closed

proper subset of [Omega].

Today, accounts receivable and ERP systems, which can post from standard X12 820, are also able to post from the EPN STP 820, which is a

proper subset of X12 820.

j[member of]J] be a

proper subset of E whose cardinal is larger than continuum and then consider [O.

2 [1]: Let N (S) be a neutrosophic LA-semigroup and N (H) be a

proper subset of N (S) .

Mappings commuting on a

proper subset of the set of coincidences.

A Smarandache groupoid G is a groupoid which has a

proper subset S [subset] G which is a semi-group under the operation of G.

Let I be a non-empty

proper subset of[n] with up and down interval decomposition of type (v, w).