Geodesic
Commutative products of linear $\Omega$-algebras
Izvestiya. Mathematics , Tome 4 (1970) no. 5, pp. 979-999

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In this paper we study $\mathbf P$-products of $\Omega$-algebras which are linear over some field. We characterize the subalgebras of the $\mathbf P$-products for the case when $\mathbf P$ consists of zero order commutative identities, and the subalgebra belongs to the manifold $\mathfrak M_{\mathbf P}$. We investigate the question of the structure of an arbitrary subalgebra of the $\mathbf P$-product, as well as some cases of $\mathbf P$-products for commutative identities of nonzero order. We look into the possibility of $\mathbf P$-decomposing a linear $\Omega$-algebra from an arbitrary manifold $\mathfrak M_{\mathbf S}$ and give necessary conditions for this. 
@article{IM2_1970_4_5_a1,
     author = {M. S. Burgin},
     title = {Commutative products of linear $\Omega$-algebras},
     journal = {Izvestiya. Mathematics },
     pages = {979--999},
     publisher = {mathdoc},
     volume = {4},
     number = {5},
     year = {1970},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1970_4_5_a1/}
}
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M. S. Burgin. Commutative products of linear $\Omega$-algebras. Izvestiya. Mathematics , Tome 4 (1970) no. 5, pp. 979-999. http://geodesic.mathdoc.fr/item/IM2_1970_4_5_a1/