It was plain that Clon suspected me.
"Under the Red Robe" by Stanley Weyman
Clon, in Ross, granted by earl of Ross to Walter de Moravia.
"Sutherland and Caithness in Saga-Time" by James Gray
It was plain that Clon suspected me.
"Historical Romances: Under the Red Robe, Count Hannibal, A Gentleman of France" by Stanley J. Weyman
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Elements of Clon V are equivalence classes of n-ary term operations of the algebras in V, where terms t and t′ are equivalent if t(x) = t′ (x) is an identity of V.
Abelian extensions of algebras in congruence-modular varieties
Clon V for some n, and a ∈ An, and h[v ; a] = v (a).
Abelian extensions of algebras in congruence-modular varieties
Let X 2 V (A), or simply X 2, denote the A-set [[S 2, k ]], where S 2 is the set of triples [v ′, v; a], where a is an element of An for some n, v is an n′ -tuple of elements of Clon V, for some n′, and v ′ ∈ Clon′ V, and where k [v ′, v; a] = v ′ (v(a)).
Abelian extensions of algebras in congruence-modular varieties
Because E is an algebra in V, sending each v ∈ Clon V to the operation vE, for all n, is a clone homomorphism from Clo V to the clone Clo U (E ) of all ﬁnitary operations on the set U (E ).
Abelian extensions of algebras in congruence-modular varieties
This means that for each v ∈ (Clon V)n′, and each v ′ ∈ Clon′ V, we have v ′E vE = (v ′v)E, where the clone composition on the left takes place in Clo U (E ), and that on the right takes place in Clo V.
Abelian extensions of algebras in congruence-modular varieties
V (Q) to be the A-set given by letting aX 1 V (Q) be the set of triples, written [v ; q]a, where v ∈ Clon V for some n, a ∈ An, and q ∈ aQ⊠n, and such that v (a) = a.
Abelian extensions of algebras in congruence-modular varieties
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