Lattice isomorphisms of modular inverse semigroups
1988 ◽
Vol 31
(3)
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pp. 441-446
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Keyword(s):
For an inverse semigroup S we will consider the lattice of inverse subsemigroups of S, denoted L(S). A major problem in algebra has been that of finding to what extent an algebra is determined by its lattice of subalgebras. (See, for example, the survey article [9]). By a lattice isomorphism (L-isomorphism, structural isomorphism, or projectivity) of an inverse semigroup S onto another T we shall mean an isomorphism Φ of L(S) onto L(T). A mapping φ from S to T is said to induce Φ if AΦ = Aφ for all A in L(S). We say that S is strongly determined by L(S) if every lattice isomorphism of S onto T is induced by an isomorphism of S onto T.
1981 ◽
Vol 30
(3)
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pp. 321-346
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1978 ◽
Vol 21
(2)
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pp. 149-157
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1991 ◽
Vol 43
(3)
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pp. 463-466
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Keyword(s):
2018 ◽
Vol 28
(05)
◽
pp. 837-875
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2013 ◽
Vol 94
(2)
◽
pp. 234-256
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2006 ◽
Vol 81
(2)
◽
pp. 185-198
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Keyword(s):
1977 ◽
Vol 23
(1)
◽
pp. 28-41
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2001 ◽
Vol 71
(1)
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pp. 37-51
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